Results 41 to 50 of about 71,420 (241)
Mean curvature flow in a Ricci flow background
, 2012 Following work of Ecker, we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-with-boundary. We compute its variational properties and its time derivative under Perelman's modified Ricci flow.
B. Kleiner +14 more
core +1 more source
On projective Ricci curvature of cubic metrics
AIMS MathematicsTo study the projective Ricci curvature (PRic-curvature) in Finsler geometry is interesting because it reflects the geometric properties that are invariant under the projective transformation.
Yanlin Li +3 more
doaj +1 more source
Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds
Advances in Mathematical Physics, 2022 Let M1,g and M2,h be two Hermitian manifolds. The doubly warped product (abbreviated as DWP) Hermitian manifold of M1,g and M2,h is the product manifold M1×M2 endowed with the warped product Hermitian metric G=f22g+f12h, where f1 and f2 are positive ...
Qihui Ni +3 more
doaj +1 more source
Electronic Research ArchiveWe proved that on every Stiefel manifold $ V_2\mathbb{R}^n\cong \operatorname{SO}(n)/\operatorname{SO}(n-2) $ with $ n\ge 3 $ the normalized Ricci flow preserves the positivity of the Ricci curvature of invariant Riemannian metrics with positive Ricci ...
Nurlan A. Abiev
doaj +1 more source
Characterizations of Bounded Ricci Curvature on Smooth and NonSmooth Spaces [PDF]
, 2015 There are two primary goals to this paper. In the first part of the paper we study smooth metric measure spaces (M^n,g,e^{-f}dv_g) and give several ways of characterizing bounds -Kg\leq \Ric+\nabla^2f\leq Kg on the Ricci curvature of the manifold.
Naber, Aaron
core
Advanced Science, EarlyView.This work shows, for the first time, that the stereocilia membrane in cochlear hair cells is dynamically regulated by the mechanotransduction channel to impact the membrane mechanical properties. This work provides direct evidence that the opening and closing associated with the MET channel is regulating the membrane viscosity suggesting that the MET ...
Shefin S. George, Anthony J. Ricci
wiley +1 more source
Ricci curvature of submanifolds in Kenmotsu space forms
International Journal of Mathematics and Mathematical Sciences, 2002 In 1999, Chen established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension.
Kadri Arslan +4 more
doaj +1 more source
A Review of and Some Results for Ollivier–Ricci Network Curvature
Mathematics, 2020 Characterizing topological properties and anomalous behaviors of higher-dimensional topological spaces via notions of curvatures is by now quite common in mainstream physics and mathematics, and it is therefore natural to try to extend these notions from
Nazanin Azarhooshang +2 more
doaj +1 more source
Targeted Medical Therapies for Vascular Anomalies: A Clinical Review
American Journal of Medical Genetics Part C: Seminars in Medical Genetics, EarlyView.ABSTRACT Vascular anomalies represent a broad spectrum of disorders characterized by aberrant blood or lymphatic vessel development, which can lead to complex clinical phenotypes. Historically, vascular anomalies were classified solely on the basis of their clinical and histopathologic features.
Whitney Eng
wiley +1 more source
A New Transport Distance and Its Associated Ricci Curvature of Hypergraphs
Analysis and Geometry in Metric Spaces, 2022 The coarse Ricci curvature of graphs introduced by Ollivier as well as its modification by Lin–Lu– Yau have been studied from various aspects. In this paper, we propose a new transport distance appropriate for hypergraphs and study a generalization of ...
Akamatsu Tomoya
doaj +1 more source