Jianguo Cao

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All published works

Action	Title	Year	Authors
+	Bounded holomorphic functions on negatively curved Kähler manifolds of dimension $\ge 3$	2015	Jianguo Cao Mei-Chi Shaw
+	A quadrangle comparison theorem and its application to soul theory for Alexandrov spaces	2010	Jianguo Cao Bo Dai Jiaqiang Mei
+ PDF Chat	A Simple Proof of Perelman’s Collapsing Theorem for 3-manifolds	2010	Jianguo Cao Jian Ge
+	Perelman's collapsing theorem for 3-manifolds	2009	Jianguo Cao Jian Ge
+ PDF Chat	Certain 4-manifolds with non-negative sectional curvature	2008	Jianguo Cao
+	The Modified Calabi-Yau Problems for CR-manifolds	2008	Jianguo Cao Shu-Cheng Chang
+	The modified Calabi-Yau problems for CR-manifolds and applications	2008	Jianguo Cao Shu-Cheng Chang
+	Microlocalization and nonexistence of $C^2$ Levi-flat hypersurfaces in $\Bbb CP^2	2008	Jianguo Cao Mei-Chi Shaw
+	Martin points on open manifolds of non-positive curvature	2007	Jianguo Cao Huijun Fan François Ledrappier
+ PDF Chat	AN INTRINSIC PROOF OF GROMOLL–GROVE DIAMETER RIGIDITY THEOREM	2007	Jianguo Cao Hongyan Tang
+	An optimal extension of Perelman's comparison theorem for quadrangles and its applications	2007	Jianguo Cao Bo Dai Jiaqiang Mei
+	An extension of Perelman's soul theorem for singular spaces	2007	Jianguo Cao Bo Dai Jiaqiang Mei
+ PDF Chat	Pseudo-Einstein and Q-flat metrics with eigenvalue estimates on CR-hypersurfaces	2007	Jianguo Cao Shu-Cheng Chang
+	Certain 4-manifolds with non-negative sectional curvature	2007	Jianguo Cao
+	The $$\bar\partial$$ -Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in $$\mathbb{C}P^n$$ with $$n \ge 3$$	2006	Jianguo Cao Mei-Chi Shaw
+	The d-bar-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in CP^n with n>= 3	2006	Jianguo Cao Mei-Chi Shaw
+	Pseudo-Einstein and Q-flat metrics with eigenvalue estimates on CR-hypersurfaces	2006	Jianguo Cao Shu-Cheng Chang
+	An intrinsic proof of Gromoll-Grove diameter rigidity theorem	2006	Jianguo Cao Hongyan Tang
+	The d-bar-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in CP^n with n>= 3	2006	Jianguo Cao Mei-Chi Shaw
+ PDF Chat	THE SMOOTHNESS OF RIEMANNIAN SUBMERSIONS WITH NON-NEGATIVE SECTIONAL CURVATURE	2005	Jianguo Cao Mei-Chi Shaw
+	Martin points on open manifolds of non-positive curvature	2005	Jianguo Cao Huijun Fan François Ledrappier
+ PDF Chat	Estimates for the -Neumann problem and nonexistence of C2 Levi-flat hypersurfaces in	2004	Jianguo Cao Mei-Chi Shaw Lihe Wang
+	Estimates for the -Neumann problem and nonexistence of C2 Levi-flat hypersurfaces in	2004	Jianguo Cao Mei-Chi Shaw Lihe Wang
+ PDF Chat	Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3	2004	Jianguo Cao Jeff Cheeger Xiaochun Rong
+	A new proof of Cheeger-Gromoll soul conjecture and Takeuchi Theorem	2003	Jianguo Cao Mei-Chi Shaw
+ PDF Chat	Finsler geometry of projectivized vector bundles	2003	Jianguo Cao Pit-Mann Wong
+ PDF Chat	A New 3-dimensional Curvature Integral Formula for PL-manifolds of Non-positive Curvature	2003	Jianguo Cao José F. Escobar
+	The smoothness of Riemannian submersions with nonnegative sectional curvature	2003	Jianguo Cao Mei-Chi Shaw
+	A NEW PROOF OF THE CHEEGER-GROMOLL SOUL CONJECTURE AND THE TAKEUCHI THEOREM	2003	Jianguo Cao Mei-Chi Shaw
+	Estimates for the $\bar\partial$-Neumann problem and nonexistence of Levi-flat hypersurfaces in $CP^n$	2003	Jianguo Cao Mei-Chi Shaw Lihe Wang
+	Splittings and Cr-structures for manifolds with nonpositive sectional curvature	2001	Jianguo Cao Jeff Cheeger Xiaochun Rong
+	Kähler parabolicity and the Euler number of compact manifolds of non-positive sectional curvature	2001	Jianguo Cao Frederico Xavier
+	CHEEGER ISOPERIMETRIC CONSTANTS OF GROMOV-HYPERBOLIC SPACES WITH QUASI-POLES	2000	Jianguo Cao
+	A new isoperimetric comparison theorem for surfaces of variable curvature	1996	Itaı Benjamini Jianguo Cao
+	Examples of simply-connected Liouville manifolds with positive spectrum	1996	Itaı Benjamini Jianguo Cao
+	Rigidity for non-compact surfaces of finite area and certain Kähler manifolds	1995	Jianguo Cao
+	The Ricci Curvature Equation with Rotational Symmetry	1994	Jianguo Cao Dennis DeTurck
+ PDF Chat	Prescribing Ricci curvature on open surfaces	1991	Jianguo Cao Dennis DeTurck
+	Applications of singular differential equations to Riemannian geometry	1989	Jianguo Cao

Common Coauthors

Coauthor	Papers Together
Mei-Chi Shaw	12
Shu-Cheng Chang	4
Lihe Wang	3
Bo Dai	3
Jiaqiang Mei	3
Huijun Fan	2
Jian Ge	2
Dennis DeTurck	2
Itaï Benjamini	2
Jeff Cheeger	2
Hongyan Tang	2
Xiaochun Rong	2
François Ledrappier	2
Frederico Xavier	1
José F. Escobar	1
Pit-Mann Wong	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin	11
+ PDF Chat	On the Structure of Complete Manifolds of Nonnegative Curvature	1972	Jeff Cheeger Detlef Gromoll	11
+	On the Extension of Holomorphic Functions from the Boundary of a Complex Manifold	1965	J. J. Kohn Hugo Rossi	9
+ PDF Chat	Function Theory on Manifolds Which Possess a Pole	1979	R. E. Greene H. Wu	9
+	Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions	1977	Klas Diederich John Erik Forn�ss	8
+	$\overline{\partial}$-Regularity for Weakly Pseudoconvex Domains in Compact Hermitian Symmetric Spaces with Respect to Invariant Metrics	2002	Yum-Tong Siu	8
+ PDF Chat	Nonexistence of Smooth Levi-Flat Hypersurfaces in Complex Projective Spaces of Dimension ≥ 3	2000	Yum-Tong Siu	8
+ PDF Chat	Estimates for the -Neumann problem and nonexistence of C2 Levi-flat hypersurfaces in	2004	Jianguo Cao Mei-Chi Shaw Lihe Wang	7
+ PDF Chat	Bounded p.s.h. functions and pseudoconvexity in Kähler manifold	1998	Takeo Ohsawa Nessim Sibony	7
+ PDF Chat	Proof of the soul conjecture of Cheeger and Gromoll	1994	G. Perelman	7
+ PDF Chat	Domaines pseudoconvexes infinis et la m\'etrique riemannienne dans un espace projectif	1964	Par Akira TAKEUCHI	7
+ PDF Chat	A note on projective Levi flats and minimal sets of algebraic foliations	1999	Alcides Lins Neto	6
+	Partial Differential Equations in Several Complex Variables	2001	So-Chin Chen Mei-Chi Shaw	6
+	H�lder and Lp estimates for ?b on CR manifolds of arbitrary codimension	2004	Mei-Chi Shaw Lihe Wang	6
+ PDF Chat	Manifolds of non positive curvature	1985	Werner Ballmann	5
+	Distance nonincreasing retraction on a complete open manifold of nonnegative sectional curvature	1988	Jin-Whan Yim	5
+	A.D. Alexandrov spaces with curvature bounded below	1992	Yu. D. Burago M. Gromov G. Perelman	5
+ PDF Chat	Pseudoconvex domains on a Kähler manifold with positive holomorphic bisectional curvature	1976	Osamu Suzuki	5
+ PDF Chat	Carleman estimates for the laplace-beltrami equation on complex manifolds	1965	Aldo Andreotti Edoardo Vesentini	5
+ PDF Chat	On the metric structure of open manifolds with nonnegative curvature	2000	Luis Guijarro	5
+ PDF Chat	Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems	1982	Yum Tong Siu	5
+ PDF Chat	Simple closed geodesics on convex surfaces	1992	Eugenio Calabi Jian Cao	5
+ PDF Chat	On the smoothness of Levi-foliations	1988	David E. Barrett John Erik Fornæss	5
+	An optimal extension of Perelman's comparison theorem for quadrangles and its applications	2007	Jianguo Cao Bo Dai Jiaqiang Mei	5
+	Foundations of Differential Geometry	1963	Shôshichi Kobayashi Katsumi Nomizu	5
+	Manifolds of Nonpositive Curvature	1985	Werner Ballmann Mikhael Gromov Viktor Schroeder	5
+	Sobolev estimates for the $$\bar \partial $$ -Neumann operator on domains inC n admitting a defining function that is plurisubharmonic on the boundary-Neumann operator on domains inC n admitting a defining function that is plurisubharmonic on the boundary	1991	Harold P. Boas Emil J. Straube	5
+ PDF Chat	Pseudo-Hermitian structures on a real hypersurface	1978	S. M. Webster	5
+	Lectures on Differential Geometry	1994	Richard Schoen Shing Tung Yau	5
+	A Sobolev mapping property of the Bergman kernel	2000	Bo Berndtsson Philippe Charpentier	5
+	An extension of E. Hopf’s maximum principle with an application to Riemannian geometry	1958	Eugenio Calabi	5
+	L 2 estimates and existence theorems for the tangential Cauchy-Riemann complex	1985	Mei-Chi Shaw	5
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	5
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman	4
+	Ricci flow with surgery on three-manifolds	2003	Grisha Perelman	4
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	4
+ PDF Chat	Hypoelliptic second order differential equations	1967	Lars Hörmander	4
+ PDF Chat	THE SMOOTHNESS OF RIEMANNIAN SUBMERSIONS WITH NON-NEGATIVE SECTIONAL CURVATURE	2005	Jianguo Cao Mei-Chi Shaw	4
+ PDF Chat	On compact kähler manifolds of nonnegative bisectional curvature, I	1981	A. M. Howard Brian Smyth H. Wu	4
+	The Neumann problem for the Cauchy-Riemann complex	1972	Gerald B. Folland J. J. Kohn	4
+ PDF Chat	On the pseudo-conformal geometry of hypersurfaces of the space of $n$ complex variables	1962	Noboru Tanaka	4
+	Non-Homogeneous Boundary Value Problems and Applications	1973	J. L. Lions Enrico Magenes	4
+	A Generalized Sphere Theorem	1977	Karsten Grove Katsuhiro Shiohama	4
+	Pseudoconvex domains: An example with nontrivial nebenh�lle	1977	Klas Diederich John Erik Fornæss	4
+ PDF Chat	AN INTRINSIC PROOF OF GROMOLL–GROVE DIAMETER RIGIDITY THEOREM	2007	Jianguo Cao Hongyan Tang	4
+ PDF Chat	Collapsing Riemannian manifolds while keeping their curvature bounded. I	1986	Jeff Cheeger Mikhael Gromov	4
+	Lecture Notes on Elementary Topology and Geometry.	1968	Morris W. Hirsch I. M. Singer J. A. Thorpe	4
+	Volume and bounded cohomology	1982	Michael Gromov	4
+	Positive Harmonic Functions on Complete Manifolds of Negative Curvature	1985	Michael T. Anderson Richard Schoen	4
+	Subelliptic estimates for the ∂¯-Neumann operator on piecewise smooth strictly pseudoconvex domains	1998	Joachim Michel Mei-Chi Shaw	4