Results 261 to 270 of about 2,699,199 (290)

On Gaussian and Geodesic Curvature of Riemannian Manifolds

Canadian Journal of Mathematics, 1974
In [1], S. S. Chern gave a very elegant and simple proof of the Gauss-Bonnet formula for closed (i.e. compact without boundary) oriented Riemannian manifolds of even dimension:Here, c is a suitable constant depending on the dimension of M and Ω is an n-form (n = dim M) which may be calculated from its curvature tensor. W.
openaire   +2 more sources

Riemannian Manifolds of Positive Curvature

Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), 2011
Richard Schoen, Simon Brendle
openaire   +2 more sources

Riemannian manifolds with harmonic curvature

Colloquium Mathematicum, 2016
Bingqing Ma, Guangyue Huang
openaire   +2 more sources

Golden Riemannian Manifolds Having Constant Sectional Curvatures and Their Submanifolds

Mediterranean Journal of Mathematics, 2022
F. Şahin, B. Şahin, F. Erdoğan
semanticscholar   +1 more source

On the complete decomposition of curvature tensors of Riemannian manifolds with symmetric connection

, 1990
N. Bokan
semanticscholar   +1 more source

Curvature and Topology of Riemannian Manifolds

, 1986
K. Shiohama, T. Sakai, T. Sunada
semanticscholar   +1 more source

G 2 -manifolds and associative submanifolds via semi-Fano 3 -folds

Duke Mathematical Journal, 2015
Tommaso Pacini, Johannes Nordström
exaly  

Scalar Curvature and Betti Numbers of Compact Riemannian Manifolds

Bulletin of the Brazilian Mathematical Society, New Series, 2019
He-zi Lin
semanticscholar   +1 more source

Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument

Advanced Nonlinear Studies, 2021
exaly  

Pseudo-harmonic maps from closed pseudo-Hermitian manifolds to Riemannian manifolds with nonpositive sectional curvature

Calculus of Variations and Partial Differential Equations, 2018
Yibin Ren, Guilin Yang
semanticscholar   +1 more source