A New Variational Characterization of Four-Dimensional Manifolds with Constant Scalar Curvature

Zejun Hu, Fan Yang

Type: Article

Publication Date: 2008-09-01

Citations: 0

DOI: https://doi.org/10.1007/s00025-008-0313-5

View Publication

Locations

Results in Mathematics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A characterization of Riemannian manifolds of constant curvature	1973	Richard Holzsager
+ PDF Chat	A characterization of two-dimensional Riemannian manifolds of constant curvature.	1970	Richard Holzsager Haotian Wu
+	A characterization of classical Riemannian manifolds by curvature operators	2007	Grozio Stanilov Yulian Tsankov
+	A Splitting Theorem for 4-Dimensional Manifolds of Nonnegative Curvature	1988	Gerard Walschap
+	Topological Characterization of Contractible 3-Manifolds with Positive Scalar Curvature	2023	Jian Wang
+	On the variational characterization on conformally flat 3-manifolds	1990	Osmo Pekonen
+ PDF Chat	A conformal characterization of manifolds of constant sectional curvature	2020	Xiaoyang Chen Francisco Fontenele Frederico Xavier
+	The Structure of Manifolds with Positive Scalar Curvature	1987	Richard Schoen Shing‐Tung Yau
+ PDF Chat	A polyhedron comparison theorem for 3-manifolds with positive scalar curvature	2019	Chao Li
+ PDF Chat	An Uniforme Estimate for Scalar Curvature Equation on Manifolds of dimension 4	2006	Samy Skander Bahoura
+	On the prescribed scalar curvature problem on 4-manifolds	1996	Mohamed Ben Ayed Yansong Chen Hichem Chtioui Mokhles Hammami
+	Riemannian manifolds of quasi-constant sectional curvatures	2000	Georgi Ganchev Vesselka Mihova
+ PDF Chat	Certain 4-manifolds with non-negative sectional curvature	2008	Jianguo Cao
+	Four-dimensional Einstein-like manifolds and curvature homogeneity	1995	Fabio Podest� Andrea Spiro
+	On the structure of manifolds with positive scalar curvature	1979	Richard Schoen S.-T. Yau
+	Some results on the topology of four-manifolds with nonnegative curvature	1996	Maria Helena Noronha
+	On the curvature identities satisfied by four-dimensional Riemannian manifolds	1987	Makoto Yamata
+	Variational characterization of torsionless connections on Riemannian manifolds	1981	Ugo Bruzzo
+	Einstein Four-Manifolds with Sectional Curvature Bounded from Above	2019	Zhuhong Zhang
+	A variational characterization of complex submanifolds	2015	Claudio Arezzo Jun Sun

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (6)

Action	Title	Year	Authors
+	A new variational characterization of 𝑛-dimensional space forms	2003	Zejun Hu Haizhong Li
+	Curvature Functionals, Optimal Metrics, and the Differential Topology of 4-Manifolds	2005	Claude LeBrun
+	A new variational characterization of three-dimensional space forms	2001	Matthew J. Gursky Jeff Viaclovsky
+	Conformal geometry, contact geometry, and the calculus of variations	2000	Jeff Viaclovsky
+ PDF Chat	Conformal deformation of a Riemannian metric to constant scalar curvature	1984	Richard Schoen
+ PDF Chat	Variational theory for the total scalar curvature functional for riemannian metrics and related topics	1989	Richard Schoen