Kazuo Akutagawa

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All published works

Action	Title	Year	Authors
+ PDF Chat	Non-existence of Yamabe Minimizers on Singular Spheres	2022	Kazuo Akutagawa Ilaria Mondello
+	The Yamabe invariant	2021	Kazuo Akutagawa
+ PDF Chat	An Obata-type theorem on compact Einstein manifolds with boundary	2021	Kazuo Akutagawa
+ PDF Chat	A gap theorem for positive Einstein metrics on the four-sphere	2018	Kazuo Akutagawa Hisaaki Endo Harish Seshadri
+	A gap theorem for positive Einstein metrics on the four-sphere	2018	Kazuo Akutagawa Hisaaki Endo Harish Seshadri
+ PDF Chat	Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space	2017	Reiko Aiyama Kazuo Akutagawa Satoru Imagawa Yu Kawakami
+	Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space	2016	Reiko Aiyama Kazuo Akutagawa Satoru Imagawa Yu Kawakami
+	Minimal Legendrian Surfaces in the Five-Dimensional Heisenberg Group	2016	Reiko Aiyama Kazuo Akutagawa
+	Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space	2016	Reiko Aiyama Kazuo Akutagawa Satoru Imagawa Yu Kawakami
+ PDF Chat	Proper harmonic maps between asymptotically hyperbolic manifolds	2015	Kazuo Akutagawa Y. Matsumoto
+	Hölder regularity of solutions for Schrödinger operators on stratified spaces	2015	Kazuo Akutagawa Gilles Carron Rafe Mazzeo
+	H\"older regularity of solutions for Schr\"odinger operators on stratified spaces	2014	Kazuo Akutagawa Gilles Carron Rafe Mazzeo
+ PDF Chat	The Yamabe problem on stratified spaces	2014	Kazuo Akutagawa Gilles Carron Rafe Mazzeo
+ PDF Chat	Surfaces with inflection points in Euclidean 4-space	2014	Reiko Aiyama Kazuo Akutagawa
+	The Gauss map and total curvature of complete minimal Lagrangian surfaces in the complex two-space	2014	Reiko Aiyama Kazuo Akutagawa Yu Kawakami
+	Proper harmonic maps between asymptotically hyperbolic manifolds	2014	Kazuo Akutagawa Y. Matsumoto
+	Hölder regularity of solutions for Schrödinger operators on stratified spaces	2014	Kazuo Akutagawa Gilles Carron Rafe Mazzeo
+	Semiumbilic points for minimal surfaces in Euclidean $$4$$ 4 -space	2013	Reiko Aiyama Kazuo Akutagawa
+	The Yamabe problem on Dirichlet spaces	2013	Kazuo Akutagawa Gilles Carron Rafe Mazzeo
+ PDF Chat	Biharmonic properly immersed submanifolds in Euclidean spaces	2012	Kazuo Akutagawa Shun Maeta
+	Geometric relative Hardy inequalities and the discrete spectrum of Schrödinger operators on manifolds	2012	Kazuo Akutagawa Hironori Kumura
+ PDF Chat	$3$-manifolds with positive flat conformal structure	2012	Reiko Aiyama Kazuo Akutagawa
+	The Yamabe problem on stratified spaces	2012	Kazuo Akutagawa Gilles Carron Rafe Mazzeo
+ PDF Chat	Computations of the orbifold Yamabe invariant	2011	Kazuo Akutagawa
+	Aubin’s Lemma for the Yamabe constants of infinite coverings and a positive mass theorem	2011	Kazuo Akutagawa
+	3-Manifolds with Positive Flat Conformal Structure	2011	Reiko Aiyama Kazuo Akutagawa
+	Biharmonic properly immersed submanifolds in Euclidean spaces	2011	Kazuo Akutagawa Shun Maeta
+	Computations of the orbifold Yamabe invariant	2010	Kazuo Akutagawa
+	The uncertainty principle lemma under gravity and the discrete spectrum of Schr	2008	Kazuo Akutagawa Hironori Kumura
+	The uncertainty principle lemma under gravity and the discrete spectrum of Schrödinger operators	2008	Kazuo Akutagawa Hironori Kumura
+ PDF Chat	3-manifolds with Yamabe invariant greater than that of $\Bbb{RP}\sp 3$	2007	Kazuo Akutagawa André Neves
+ PDF Chat	On Yamabe constants of Riemannian products	2007	Kazuo Akutagawa Luis A. Florit Jimmy Petean
+ PDF Chat	Perelman’s invariant, Ricci flow, and the Yamabe invariants of smooth manifolds	2006	Kazuo Akutagawa Masashi Ishida Claude LeBrun
+	Perelman's Invariant, Ricci Flow, and the Yamabe Invariants of Smooth Manifolds	2006	Kazuo Akutagawa Masashi Ishida Claude LeBrun
+	On Yamabe constants of Riemannian products	2006	Kazuo Akutagawa Luis A. Florit Jimmy Petean
+	Classification of all 3-manifolds with Yamabe invariant greater than that of $\RP^3$	2005	Kazuo Akutagawa André Neves
+	3-Manifolds with Yamabe invariant greater than that of $\RP^3$	2005	Kazuo Akutagawa André Neves
+ PDF Chat	The Yamabe invariants of orbifolds and cylindrical manifolds, and L[2]-harmonic spinors	2004	Kazuo Akutagawa Boris Botvinnik
+ PDF Chat	The Weyl functional near the Yamabe invariant	2003	Kazuo Akutagawa Boris Botvinnik Osamu Kobayashi Harish Seshadri
+ PDF Chat	Yamabe metrics on cylindrical manifolds	2003	Kazuo Akutagawa Boris Botvinnik
+	An obstruction to the positivity of relative Yamabe invariants	2003	Kazuo Akutagawa
+ PDF Chat	Manifolds of positive scalar curvature and conformal cobordism theory	2002	Kazuo Akutagawa Boris Botvinnik Not Available Not Available
+	The Dirichlet problem at infinity for harmonic map equations arising from constant mean curvature surfaces in the hyperbolic 3-space	2002	Reiko Aiyama Kazuo Akutagawa
+	The Yamabe invariant of orbifolds and $L^2$-harmonic spinors	2002	Kazuo Akutagawa Boris Botvinnik
+	The Yamabe invariants of orbifolds and cylindrical manifolds, and $L^2$-harmonic spinors	2002	Kazuo Akutagawa Boris Botvinnik
+ PDF Chat	The relative Yamabe invariant	2002	Kazuo Akutagawa Boris Botvinnik
+	The Weyl functional near the Yamabe invariant	2002	Kazuo Akutagawa Boris Botvinnik Osamu Kobayashi Harish Seshadri
+	Yamabe metrics on cylindrical manifolds	2001	Kazuo Akutagawa Boris Botvinnik
+ PDF Chat	Kenmotsu type representation formula for surfaces with prescribed mean curvature in the hyperbolic 3-space	2000	Reiko Aiyama Kazuo Akutagawa
+ PDF Chat	Kenmotsu type representation formula for spacelike surfaces in the de Sitter 3-space	2000	Reiko Aiyama Kazuo Akutagawa
+	Relative Yamabe Invariant	2000	Kazuo Akutagawa Boris Botvinnik
+ PDF Chat	Minimal maps between the hyperbolic discs and generalized Gauss maps of maximal surfaces in the anti-de Sitter 3-space	2000	Reiko Aiyama Kazuo Akutagawa Tom Yau-heng Wan
+ PDF Chat	Kenmotsu type representation formula for surfaces with prescribed mean curvature in the $3$-sphere	2000	Reiko Aiyama Kazuo Akutagawa
+	Manifolds of Positive Scalar Curvature and Conformal Cobordism Theory	2000	Kazuo Akutagawa Boris Botvinnik
+ PDF Chat	A global correspondence between CMC-surfaces in $S^3$ and pairs of non-conformal harmonic maps into $S^2$	1999	Reiko Aiyama Kazuo Akutagawa Reiko Miyaoka Masaaki Umehara
+ PDF Chat	Spinc Geometry, the Seiberg-Witten Equations and Yamabe Invariants of Kaehler Surfaces.	1999	Kazuo Akutagawa
+	None	1999	Reiko Aiyama Kazuo Akutagawa
+	Kenmotsu-Bryant type representation formula for constant mean curvature spacelike surfaces in H31(c2)	1998	Reiko Aiyama Kazuo Akutagawa
+ PDF Chat	Convergence for Yamabe metrics of positive scalar curvature with integral bounds on curvature	1996	Kazuo Akutagawa
+	Harmonic maps between unbounded convex polyhedra in hyperbolic spaces	1994	Kazuo Akutagawa Seiki Nishikawa Atsushi Tachikawa
+	Yamabe metrics of positive scalar curvature and conformally flat manifolds	1994	Kazuo Akutagawa
+ PDF Chat	Harmonic Diffeomorphisms of the Hyperbolic Plane	1994	Kazuo Akutagawa
+ PDF Chat	Harmonic diffeomorphisms of the hyperbolic plane	1994	Kazuo Akutagawa
+	Nonexistence Results for Harmonic Maps between Noncompact Complete Riemannian Manifolds	1993	Kazuo Akutagawa Atsushi Tachikawa
+ PDF Chat	The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski $3$-space	1990	Kazuo Akutagawa Seiki Nishikawa
+ PDF Chat	Compactness criteria for Riemannian manifolds with compact unstable minimal hypersurfaces	1989	Kazuo Akutagawa
+ PDF Chat	Existence of maximal hypersurfaces in an asymptotically anti-de Sitter spacetime satisfying a global barrier condition	1989	Kazuo Akutagawa
+	On spacelike hypersurfaces with constant mean curvature in the de Sitter space	1987	Kazuo Akutagawa
+ PDF Chat	ON A ONE-PARAMETER SUBGROUP OF Ust(h) WHOSE INFINITESIMAL GENERATOR HAS ONLY A SINGULARLY CONTINUOUS PART	1986	Kazuo Akutagawa
+ PDF Chat	A NOTE ON SPACELIKE HYPERSURFACES WITH PRESCRIBED MEAN CURVATURE IN A SPATIALLY CLOSED GLOBALLY STATIC LORENTZIAN MANIFOLD	1986	Kazuo Akutagawa

Common Coauthors

Coauthor	Papers Together
Reiko Aiyama	17
Boris Botvinnik	11
Gilles Carron	6
Rafe Mazzeo	6
Yu Kawakami	4
Harish Seshadri	4
Hironori Kumura	3
André Neves	3
Satoru Imagawa	3
Hisaaki Endo	2
Masashi Ishida	2
Luis A. Florit	2
Atsushi Tachikawa	2
Shun Maeta	2
Osamu Kobayashi	2
Jimmy Petean	2
Claude LeBrun	2
Y. Matsumoto	2
Seiki Nishikawa	2
Ilaria Mondello	1
Masaaki Umehara	1
Not Available Not Available	1
Tom Yau-heng Wan	1
Reiko Miyaoka	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Variational theory for the total scalar curvature functional for riemannian metrics and related topics	1989	Richard Schoen	28
+ PDF Chat	The Yamabe problem	1987	John M. Lee Thomas H. Parker	22
+	Scalar curvature of a metric with unit volume	1987	Osamu Kobayashi	22
+ PDF Chat	Conformal deformation of a Riemannian metric to constant scalar curvature	1984	Richard Schoen	20
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	15
+	Conformally flat manifolds, Kleinian groups and scalar curvature	1988	Richard Schoen Shing‐Tung Yau	14
+	On a deformation of Riemannian structures on compact manifolds	1960	Hidehiko Yamabe	14
+ PDF Chat	Yamabe metrics on cylindrical manifolds	2003	Kazuo Akutagawa Boris Botvinnik	14
+ PDF Chat	Positive scalar curvature and the Dirac operator on complete riemannian manifolds	1983	Mikhael Gromov H. Blaine Lawson	14
+	Some Nonlinear Problems in Riemannian Geometry	1998	Thierry Aubin	14
+	Remarks concerning the conformal deformation of riemannian structures on compact manifolds	1968	Neil S. Trudinger	13
+ PDF Chat	Four-Manifolds without Einstein Metrics	1996	Claude LeBrun	12
+ PDF Chat	The conjectures on conformal transformations of Riemannian manifolds	1971	Morio Obata	12
+ PDF Chat	Yamabe constants and the perturbed Seiberg–Witten equations	1997	Claude LeBrun	12
+ PDF Chat	Surgery and the Yamabe Invariant	1999	Jimmy Petean Gabjin Yun	12
+ PDF Chat	Computations of the Yamabe invariant	1998	Jimmy Petean	11
+ PDF Chat	The relative Yamabe invariant	2002	Kazuo Akutagawa Boris Botvinnik	10
+	Weierstrass formula for surfaces of prescribed mean curvature	1979	Katsuei Kenmotsu	10
+	EQUATIONS DIFFERENTIELLES NON LINEAIRES ET PROBLEME DE YAMABE CONCERNANT LA COURBURE SCALAIRE.	1976	Thierry Aubin	9
+	The heat equation and harmonic maps of complete manifolds	1991	Peter Li Luen-Fai Tam	9
+ PDF Chat	The Yamabe problem on manifolds with boundary	1992	José F. Escobar	9
+	Uniqueness and Regularity of Proper Harmonic Maps	1993	Peter Li Luen-Fai Tam	9
+	The Classification of Simply Connected Manifolds of Positive Scalar Curvature	1980	Mikhael Gromov H. Blaine Lawson	8
+	The Gauss Map of Surfaces in R<sup>3</sup> and R<sup>4</sup>	1985	David Hoffman Robert Osserman	8
+	Lectures on Differential Geometry	1994	Richard Schoen Shing Tung Yau	7
+ PDF Chat	Kodaira dimension and the Yamabe problem	1999	Claude LeBrun	7
+	Harmonic mappings between Riemannian manifolds	1984	Jürgen Jost	7
+	On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth	1989	Shigetoshi Bando Atsushi Kasue Hiraku Nakajima	7
+ PDF Chat	Curvature, Connected Sums, and Seiberg-Witten Theory	2003	Masashi Ishida Claude LeBrun	7
+ PDF Chat	Yamabe Invariants and $ Spin^c $ Structures	1998	Matthew J. Gursky Claude LeBrun	7
+ PDF Chat	Manifolds of positive scalar curvature and conformal cobordism theory	2002	Kazuo Akutagawa Boris Botvinnik Not Available Not Available	7
+ PDF Chat	Einstein metrics and Mostow rigidity	1995	Claude LeBrun	7
+ PDF Chat	On the proof of the positive mass conjecture in general relativity	1979	Richard Schoen Shing-Tung Yau	7
+ PDF Chat	The Yamabe invariant of simply connected manifolds	2000	Jimmy Petean	7
+	Einstein Manifolds	1987	Arthur L. Besse	6
+ PDF Chat	The mass of an asymptotically flat manifold	1986	Robert Bartnik	6
+	Harmonic maps between surfaces	1984	Jürgen Jost	6
+	Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature	1979	Richard Schoen Shing‐Tung Yau	6
+ PDF Chat	Harmonic diffeomorphisms of the hyperbolic plane	1994	Kazuo Akutagawa	6
+ PDF Chat	The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski $3$-space	1990	Kazuo Akutagawa Seiki Nishikawa	6
+	On the second derivative of the total scalar curvature	1979	Norihito Koiso	6
+	Yamabe metrics of positive scalar curvature and conformally flat manifolds	1994	Kazuo Akutagawa	6
+ PDF Chat	Monopole metrics and the orbifold Yamabe problem	2010	Jeff Viaclovsky	6
+ PDF Chat	Canonical Metrics on $3$-Manifolds and $4$-Manifolds	2006	Michael T. Anderson	6
+	On the structure of manifolds with positive scalar curvature	1979	Richard Schoen S.-T. Yau	6
+ PDF Chat	A relation between pointwise convergence of functions and convergence of functionals	1983	Haı̈m Brezis Élliott H. Lieb	6
+ PDF Chat	Ricci curvature bounds and Einstein metrics on compact manifolds	1989	Michael T. Anderson	6
+ PDF Chat	Scalar curvature and conformal deformation of Riemannian structure	1975	Jerry L. Kazdan F. W. Warner	6
+	The Yamabe problem on Dirichlet spaces	2013	Kazuo Akutagawa Gilles Carron Rafe Mazzeo	5
+	The geometry of the generalized Gauss map	1980	David Hoffman Robert Osserman	5