Results 131 to 140 of about 283,922 (217)

A generalized Curvature-Dimension inequality in sub-Riemannian geometry

, 2022
openRiemannian manifolds with a Ricci lower bound is an important researched area of differential geometry, in particular in the context of comparison theorems.
CONDINI, MARCO
core  

A Compactness Theorem for Locally Conformally Flat Riemannian Manifolds

Axioms
In this paper, we prove that if a complete locally conformally flat Riemannian manifold with positive Yamabe invariant has a positive lower bound on its scalar curvature, an upper bound on its Ricci curvature, and the Lq norm (q⩾2) of the traceless Ricci
Shunjuan Cao
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 of graphs

We modify the definition of Ricci curvature of Ollivier of Markov chains on graphs to study the properties of the Ricci curvature of general graphs, Cartesian product of graphs, random graphs, and some special class of ...
Lu, Linyuan, Yau, Shing-Tung, Lin, Yong
core  

Ricci solitons in Kenmotsu manifolds.

, 2012
In this paper we study Ricci solitons in Kenmotsu manifolds. We consider quasi conformal, conharmonic and projective curvature tensors in a Kenmotsu manifold admitting Ricci solitons and prove the conditions for the Ricci solitons to be shrinking, steady
Premalatha, C.R., Nagaraja, H.G.
core  

Measuring robustness of brain networks in autism spectrum disorder with Ricci curvature. [PDF]

Sci Rep, 2020
Simhal AK, Carpenter KLH, Nadeem S, Kurtzberg J, Song A, Tannenbaum A, Sapiro G, Dawson G.   +7 more
europepmc   +1 more source

Analysis of Ricci flow on noncompact manifolds [PDF]

, 2013
textIn this dissertation, we present some analysis of Ricci flow on complete noncompact manifolds. The first half of the dissertation concerns the formation of Type-II singularity in Ricci flow on [mathematical equation]. For each [mathematical equation]
Wu, Haotian, active 2013
core  

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  

NON-COERCIVE RICCI FLOW INVARIANT CURVATURE CONES

, 2015
This note is a study of nonnegativity conditions on curvature preserved by the Ricci flow. We focus on a specific class of curvature conditions which we call non-coercive: These are the conditions for which nonnegative curvature and vanishing scalar ...
Richard, Thomas, Seshadri, Harish
core  

Ricci flow with Ricci curvature and volume bounded below

Mathematische Annalen
We show that a simply-connected closed four-dimensional Ricci flow whose Ricci curvature is uniformly bounded below and whose volume does not approach zero must converge to a $C^{0}$ orbifold at any finite-time singularity, so has an extension through the singularity via orbifold Ricci flow.
openaire   +2 more sources