Zizhou Tang

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All published works

Action	Title	Year	Authors
+	Clifford Algebra, Isoparametric Foliation and Related Geometric Constructions	2024	Chao Qian Zizhou Tang
+	Clifford Algebra, Isoparametric Foliation and Related Geometric Constructions	2024	Chao Qian Zizhou Tang
+ PDF Chat	An overview of the development of isoparametric theory	2024	Jianquan Ge Chao Qian Zizhou Tang Wenjiao Yan
+ PDF Chat	A survey on the DDVV-type inequalities	2024	Jianquan Ge Fagui Li Zizhou Tang Yi Zhou
+	Orthogonal almost complex structure and its Nijenhuis tensor	2024	Zizhou Tang Wenjiao Yan
+ PDF Chat	Clifford systems, harmonic maps and metrics with nonnegative curvature	2022	Chao Qian Zizhou Tang Wenjiao Yan
+ PDF Chat	Isoparametric Polynomials and Sums of Squares	2022	Jianquan Ge Zizhou Tang
+ PDF Chat	Isoparametric hypersurfaces and complex structures	2022	Zizhou Tang Wenjiao Yan
+ PDF Chat	On the Chern conjecture for isoparametric hypersurfaces	2022	Zizhou Tang Wenjiao Yan
+ PDF Chat	Topology and Curvature of Isoparametric Families in Spheres	2022	Chao Qian Zizhou Tang Wenjiao Yan
+	Clifford systems, harmonic maps and metrics with non-negative curvature	2022	Chao Qian Zizhou Tang Wenjiao Yan
+	On two questions of James	2022	Chao Qian Zizhou Tang Wenjiao Yan
+ PDF Chat	A sufficient condition for a hypersurface to be isoparametric	2020	Zizhou Tang Dongyi Wei Wenjiao Yan
+ PDF Chat	Minimizing cones associated with isoparametric foliations	2020	Zizhou Tang Yongsheng Zhang
+	Extrinsic geometry of the Gromoll-Meyer sphere	2020	Chao Qian Zizhou Tang Wenjiao Yan
+	On the Chern conjecture for isoparametric hypersurfaces	2020	Zizhou Tang Wenjiao Yan
+ PDF Chat	Normal Scalar Curvature Inequality on the Focal Submanifolds of Isoparametric Hypersurfaces	2018	Jianquan Ge Zizhou Tang Wenjiao Yan
+	A sufficient condition for a hypersurface to be isoparametric	2018	Zizhou Tang Dongyi Wei Wenjiao Yan
+	Isoparametric polynomials and sums of squares	2018	Jianquan Ge Zizhou Tang
+	Clifford algebra, isoparametric foliation and related geometric constructions	2018	Chao Qian Zizhou Tang
+ PDF Chat	Yau's first eigenvalue conjecture in the isoparametric case	2017	Zizhou Tang Wenjiao Yan
+	Corrigendum to “Isoparametric foliation and a problem of Besse on generalizations of Einstein condition” [Adv. Math. 285 (2015) 1970–2000]	2017	Zizhou Tang Wenjiao Yan
+	Isoparametric theory and its applications	2017	Zizhou Tang Wenjiao Yan
+ PDF Chat	Isoparametric foliations and critical sets of eigenfunctions	2016	Zizhou Tang Wenjiao Yan
+ PDF Chat	Isoparametric foliations, a problem of Eells–Lemaire and conjectures of Leung	2016	Chao Qian Zizhou Tang
+	Normal scalar curvature inequality on the focal submanifolds of isoparametric hypersurfaces	2016	Jianquan Ge Zizhou Tang Wenjiao Yan
+	Minimizing cones associated with isoparametric foliations	2016	Zizhou Tang Yongsheng Zhang
+	Isoparametric foliation and a problem of Besse on generalizations of Einstein condition	2015	Zizhou Tang Wenjiao Yan
+	A filtration for isoparametric hypersurfaces in Riemannian manifolds	2015	Jianquan Ge Zizhou Tang Wenjiao Yan
+	Isoparametric functions on exotic spheres	2015	Chao Qian Zizhou Tang
+	A filtration for isoparametric hypersurfaces in Riemannian manifolds	2015	Jianquan Ge Zizhou Tang Wenjiao Yan
+	Isoparametric foliation and Yau conjecture on the first eigenvalue, II	2014	Zizhou Tang Yuquan Xie Wenjiao Yan
+	η -Invariant and a problem of Bérard-Bergery on the existence of closed geodesics	2014	Zizhou Tang Weiping Zhang
+ PDF Chat	Recent Progress in Isoparametric Functions and Isoparametric Hypersurfaces	2014	Chao Qian Zizhou Tang
+ PDF Chat	Geometry of isoparametric hypersurfaces in Riemannian manifolds	2014	Jianquan Ge Zizhou Tang
+	An exotic sphere with positive curvature	2014	Jianquan Ge Zizhou Tang
+	Recent progress in isoparametric functions and isoparametric hypersurfaces	2014	Chao Qian Zizhou Tang
+ PDF Chat	Isoparametric foliation and Yau conjecture on the first eigenvalue	2013	Zizhou Tang Wenjiao Yan
+	$\eta$-invariant and a problem of B\'erard-Bergery on the existence of closed geodesics	2013	Zizhou Tang Weiping Zhang
+	On a problem of Berard-Bergery and Besse	2013	Zizhou Tang Weiping Zhang
+	Isoparametric foliation and a problem of Besse on generalizations of Einstein condition	2013	Zizhou Tang Wenjiao Yan
+ PDF Chat	Isoparametric functions and exotic spheres	2013	Jianquan Ge Zizhou Tang
+	Isoparametric functions on exotic spheres	2013	Chao Qian Zizhou Tang
+	$η$-invariant and a problem of Bérard-Bergery on the existence of closed geodesics	2013	Zizhou Tang Weiping Zhang
+ PDF Chat	New examples of Willmore submanifolds in the unit sphere via isoparametric functions, II	2012	Chao Qian Zizhou Tang Wenjiao Yan
+ PDF Chat	New examples of Willmore submanifolds in the unit sphere via isoparametric functions	2012	Zizhou Tang Wenjiao Yan
+	CRITICAL SETS OF EIGENFUNCTIONS AND YAU CONJECTURE	2012	Zizhou Tang Wenjiao Yan
+	Isoparametric foliation and Yau conjecture on the first eigenvalue	2012	Zizhou Tang Wenjiao Yan
+	Finiteness theorems for equifocal hypersurfaces	2012	Jianquan Ge Chao Qian Zizhou Tang
+	Isoparametric foliations and critical sets of eigenfunctions	2012	Zizhou Tang Wenjiao Yan
+ PDF Chat	Schoen–Yau–Gromov–Lawson theory and isoparametric foliations	2012	Zizhou Tang Yuquan Xie Wenjiao Yan
+	Isoparametric foliation and Yau conjecture on the first eigenvalue, II	2012	Zizhou Tang Yuquan Xie Wenjiao Yan
+	Schoen-Yau-Gromov-Lawson theory and isoparametric foliations	2011	Zizhou Tang Yuquan Xie Wenjiao Yan
+	A Filtration for Isoparametric Hypersurfaces in Riemannian Manifolds	2011	Jianquan Ge Zizhou Tang Wenjiao Yan
+	New examples of Willmore submanifolds in the unit sphere via isoparametric functions	2011	Zizhou Tang Wenjiao Yan
+	Chern conjecture and isoparametric hypersurfaces	2010	Jianquan Ge Zizhou Tang
+	Chern-Simons invariant and conformal embedding of a 3-manifold	2010	Chiakuei Peng Zizhou Tang
+	On surfaces immersed in Euclidean space R 4	2010	Chiakuei Peng Zizhou Tang
+	Isoparametric functions and exotic spheres	2010	Jianquan Ge Zizhou Tang
+	Geometry of isoparametric hypersurfaces in Riemannian manifolds	2010	Jianquan Ge Zizhou Tang
+	A survey on the DDVV conjecture	2010	Jianquan Ge Zizhou Tang
+	AN INTEGRAL FORMULA AND ITS APPLICATION TO NORMAL EULER NUMBER	2008	Jianquan Ge Zizhou Tang
+ PDF Chat	A proof of the DDVV conjecture and its equality case	2008	Jianquan Ge Zizhou Tang
+	A proof of the DDVV conjecture and its equality case	2008	Jianquan Ge Zizhou Tang
+	Bott Generator and Its Application to an Almost Complex Structure on S 6 *	2007	Chiakuei Peng Zizhou Tang
+	Harmonic Hopf constructions and isoparametric gradient maps	2007	Zizhou Tang
+	The Proof of Erd■ Conjecture	2006	Zizhou Tang
+	SOME EXISTENCE AND NONEXISTENCE RESULTS OF ISOMETRIC IMMERSIONS OF RIEMANNIAN MANIFOLDS	2004	Zizhou Tang
+	Twistor bundle theory and its application	2004	Chiakuei Peng Zizhou Tang
+	A GENERALIZATION OF THE ATIYAH–DUPONT VECTOR FIELDS THEORY	2002	Zizhou Tang Weiping Zhang
+	Bordism theory and the Kervaire semi-characteristic	2002	Zizhou Tang
+ PDF Chat	Dilatation of maps between spheres	2002	Chiakuei Peng Zizhou Tang
+	SOME BUNDLES OVER NONNEGATIVELY CURVED MANIFOLDS	2002	Zizhou Tang
+ PDF Chat	A note on the cohomological below $1/4$-pinching theorem	2001	Zizhou Tang
+	NEW CONSTRUCTIONS OF EIGENMAPS BETWEEN SPHERES	2001	Zizhou Tang
+	NONEXISTENCE OF A SUBMERSION FROM THE 23-SPHERE TO THE CAYLEY PROJECTIVE PLANE	2001	Zizhou Tang
+	Algebraic maps from spheres to spheres	1999	Jiagui Peng Zizhou Tang
+	Harmonic maps from spheres to spheres	1998	Chiakuei Peng Zizhou Tang
+ PDF Chat	Multiplicities of equifocal hypersurfaces in symmetric spaces	1998	Zizhou Tang
+	Nonexistence of almost complex structures on Dold manifolds	1996	Zizhou Tang
+	Codimension two immersions of oriented Grassmann manifolds	1995	Zizhou Tang
+	Nonexistence of Weakly Almost Complex Structures on Grassmannians	1994	Zizhou Tang
+	Harmonic polynomial morphisms between Euclidean spaces	1989	Zizhou Tang
+	Codimension 1 and 2 immersions of lens spaces	1989	Banghe Li Zizhou Tang

Common Coauthors

Coauthor	Papers Together
Wenjiao Yan	34
Jianquan Ge	19
Chao Qian	13
Chiakuei Peng	6
Weiping Zhang	5
Yuquan Xie	4
Chao Qian	3
Yongsheng Zhang	2
Dongyi Wei	2
Fagui Li	1
Yi Zhou	1
Jiagui Peng	1
Jianquan Ge	1
Banghe Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Isoparametric hypersurfaces with four principal curvatures	2007	Thomas E. Cecil Quo-Shin Chi Gary R. Jensen	37
+ PDF Chat	Isoparametric hypersurfaces with (g,m)=(6,2)	2012	Reiko Miyaoka	29
+ PDF Chat	On the classification of isoparametric hypersurfaces with four distinct curvatures in spheres	2008	Stefan Immervoll	27
+ PDF Chat	Isoparametric foliation and Yau conjecture on the first eigenvalue	2013	Zizhou Tang Wenjiao Yan	25
+	Isoparametric functions on Riemannian manifolds. I	1987	Wang Qiming	22
+	Cliffordalgebren und neue isoparametrische Hyperfl�chen	1981	Dirk Ferus Hermann Karcher Hans-Friedrich M�nzner	21
+ PDF Chat	Isoparametric hypersurfaces with four principal curvatures, IV	2020	Quo-Shin Chi	20
+	Isoparametric hypersurfaces, case g=6, m=1	1985	Josef F. Dorfmeister Erhard Neher	19
+	Sur des familles remarquables d'hypersurfaces isoparamétriques dans les espaces sphériques	1939	Élie Cartan	18
+ PDF Chat	On some types of isoparametric hypersurfaces in spheres, II	1976	Hideki Ozeki Masaru Takeuchi	18
+	Isoparametric hypersurfaces with four or six distinct principal curvatures	1983	Uwe Abresch	17
+ PDF Chat	Isoparametric functions and exotic spheres	2013	Jianquan Ge Zizhou Tang	17
+	Quartic isoparametric hypersurfaces and quadratic forms	1992	Bruce Solomon	15
+	Familles de surfaces isoparamétriques dans les espaces à courbure constante	1938	Élie Cartan	14
+ PDF Chat	Isoparametric hypersurfaces with four principal curvatures, III	2013	Quo-Shin Chi	14
+ PDF Chat	Isoparametric hypersurfaces with four principal curvatures, II	2011	Quo-Shin Chi	14
+	Isoparametric functions on exotic spheres	2015	Chao Qian Zizhou Tang	14
+	Isoparametrische Hyperflächen in Sphären	1980	Hans Münzner	13
+ PDF Chat	New examples of Willmore submanifolds in the unit sphere via isoparametric functions, II	2012	Chao Qian Zizhou Tang Wenjiao Yan	13
+	Errata of ``Isoparametric hypersurfaces with (g,m)=(6,2)"	2016	Aoba-ku Miyaoka Tohoku University	13
+ PDF Chat	Geometry of isoparametric hypersurfaces in Riemannian manifolds	2014	Jianquan Ge Zizhou Tang	11
+ PDF Chat	Schoen–Yau–Gromov–Lawson theory and isoparametric foliations	2012	Zizhou Tang Yuquan Xie Wenjiao Yan	11
+ PDF Chat	On the topology of isoparametric hypersurfaces with four distinct principal curvatures	1999	Fuquan Fang	10
+	Isoparametric foliation and a problem of Besse on generalizations of Einstein condition	2015	Zizhou Tang Wenjiao Yan	10
+	A Survey on Isoparametric Hypersurfaces and Their Generalizations	2000	Gudlaugur Thorbergsson	10
+	On representing homotopy classes of spheres by harmonic maps	1997	Peng Chia Kuei Tang Zi Zhou	9
+	A filtration for isoparametric hypersurfaces in Riemannian manifolds	2015	Jianquan Ge Zizhou Tang Wenjiao Yan	9
+ PDF Chat	Submanifold geometry in symmetric spaces	1995	Chuu-Lian Terng Gudlaugur Thorbergsson	9
+ PDF Chat	On the topology of Clifford isoparametric hypersurfaces	1988	Qi Ming Wang	9
+ PDF Chat	Isoparametric foliations, a problem of Eells–Lemaire and conjectures of Leung	2016	Chao Qian Zizhou Tang	9
+	Gradient map of isoparametric polynomial and its application to Ginzburg–Landau system	2009	Jianquan Ge Yuquan Xie	9
+	Isoparametric foliation and Yau conjecture on the first eigenvalue, II	2014	Zizhou Tang Yuquan Xie Wenjiao Yan	9
+ PDF Chat	On some types of isoparametric hypersurfaces in spheres, I	1975	Hideki Ozeki Masaru Takeuchi	8
+ PDF Chat	Calibrated geometries	1982	Reese Harvey H. Blaine Lawson	8
+	Harmonic maps from spheres to spheres	1998	Chiakuei Peng Zizhou Tang	8
+	Multiplicities of Dupin hypersurfaces	1999	Stephan Stolz	8
+	The first eigenvalue of the laplacian of an isoparametric minimal hypersurface in a unit sphere	1986	Hideo Mutō	7
+ PDF Chat	Multiplicities of equifocal hypersurfaces in symmetric spaces	1998	Zizhou Tang	7
+ PDF Chat	A class of hypersurfaces with constant principal curvatures in a sphere	1976	Ryoichi Takagi	7
+	Isoparametrische Hyperflächen in Sphären	1981	Hans Münzner	7
+	Some new results on composition of quadratic forms	1985	Kee Yuen Lam	6
+ PDF Chat	Isoparametric and Dupin Hypersurfaces	2008	Thomas E. Cecil	6
+ PDF Chat	New examples of Willmore submanifolds in the unit sphere via isoparametric functions	2012	Zizhou Tang Wenjiao Yan	6
+	Minimal Varieties in Riemannian Manifolds	1968	James Simons	6
+	On Manifolds Homeomorphic to the 7-Sphere	1956	John Milnor	6
+	MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE	1984	Chiakuei Peng Chuu-Lian Terng	6
+ PDF Chat	Some results in E. Cartan's theory of isoparametric families of hypersurfaces	1973	Katsumi Nomizu	6
+	Groups of Homotopy Spheres: I	1963	Michel Kervaire John Milnor	6
+ PDF Chat	On minimal hypersurfaces with constant scalar curvatures in $S^4$	1993	Shaoping Chang	5
+	Isoparametric families on projective spaces	1989	Kicheon Park	5