Results 1 to 10 of about 403,737 (164)

Three-manifolds with positive Ricci curvature

, 1982
R. Hamilton
semanticscholar   +1 more source

Curvature analysis of concircular trajectories in doubly warped product manifolds

AIMS Mathematics
The aim of this research paper was to explore the various characteristics of the doubly warped product manifold, focusing particularly on aspects such as the Hessian, Riemannian curvature, Ricci curvature, and concircular curvature tensor components.
Fahad Sikander, Tanveer Fatima , Sharief Deshmukh, Ayman Elsharkawy   +3 more
doaj   +1 more source

On Curvature Pinching for Submanifolds with Parallel Normalized Mean Curvature Vector

Mathematics
In this note, we investigate the pinching problem for oriented compact submanifolds of dimension n with parallel normalized mean curvature vector in a space form Fn+p(c).
Juanru Gu, Yao Lu
doaj   +1 more source

RICCI CURVATURE AND THE RICCI OPERATOR [PDF]

Theoretical & Applied Science, 2013
openaire   +2 more sources

Ricci solitons in a generalized weakly (Ricci) symmetric D-homothetically deformed Kenmotsu manifold

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
The object of the present paper is to investigate the nature of Ricci solitons on D-homothetically deformed Kenmotsu manifold with generalized weakly symmetric and generalized weakly Ricci symmetric curvature restrictions.
Adara M. Blaga, Kanak Kanti Baishya, Nihar Sarkar   +2 more
doaj  

Ricci curvature and volume growth [PDF]

Pacific Journal of Mathematics, 1991
Strake, M., Walschap, G.
openaire   +3 more sources

Ricci Curvature and the Mechanics of Solids

, 2010
We discuss some differential geometry pertaining to continuum mechanics and the route recently taken by D.N. Arnold, R.S. Falk, and R. Winther in deriving new improved finite element schemes in linear elasticity from constructions in projective geometry.
openaire   +2 more sources

Semilinear parabolic problems on manifolds and applications to the non-compact Yamabe problem

Electronic Journal of Differential Equations, 2000
We show that the well-known non-compact Yamabe equation (of prescribing constant positive scalar curvature) on a manifold with non-negative Ricci curvature and positive scalar curvature behaving like $c/d(x)^2$ near infinity can not be solved if the ...
Qi S. Zhang
doaj  

Closed time-like curves in f(R,A) modified gravity theory

Nuclear Physics B
In this manuscript, we investigate solutions that allow closed time-like curves (CTCs) in general relativity (GR) within the framework of a modified gravity theory. We consider here an alternative theory recently proposed in gravity theories known as f(R,
F. Ahmed, J.C.R. de Souza, A.F. Santos
doaj  

On Ricci curvature and geodesics

Duke Mathematical Journal, 1967
openaire   +3 more sources