نتایج جستجو برای: ricci operator
تعداد نتایج: 98899 فیلتر نتایج به سال:
Abstract Nearly all the evolution equations of physics are time-reversible, in the sense that a movie of the solution, played backwards, would obey exactly the same differential equations as the original forward solution. By way of contrast, stochastic approaches are typically not time-reversible, though they could be made so by the simple expedient of storing their underlying pseudorandom numb...
Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
Matter collineations (MCs) are the vector fields along which the energymomentum tensor remains invariant under the Lie transport. Invariance of the metric, the Ricci and the Riemann tensors have been studied extensively and the vectors along which these tensors remain invariant are called Killing vectors (KVs), Ricci collineations (RCs) and curvature collineations (CCs), respectively. In this p...
This document lists some open problems related to the notion of discrete Ricci curvature defined in [Oll09, Oll07]. Do not hesitate to contact me for precisions. Please inform me if you seriously work on one of these problems, so that I don’t put a student on it! The problems are not ordered. Problem A (Log-concave measures). Ricci curvature is positive for RN equipped with a Gaussian measure, ...
In recent years, there has seen much interest and increased research activities in Ricci solitons. Ricci solitons are natural generalizations of Einstein metrics. They are also special solutions to Hamilton’s Ricci flow and play important roles in the singularity study of the Ricci flow. In this paper, we survey some of the recent progress on Ricci solitons. The concept of Ricci solitons was in...
In this paper, we study the geometry of kernel Lichnerovicz Laplacian in case complete and, particular, compact Riemannian manifolds, and also propose a lower estimate its eigenvalues on manifold whose curvature operator is bounded from below an upper with Ricci below. We define space smooth sections bundle covariant tensors as required by original definition; distinguishes our results obtained...
In this note, we prove that on an n-dimensional compact toric manifold with positive first Chern class, the Kähler-Ricci flow with any initial (S)-invariant Kähler metric converges to a Kähler-Ricci soliton. In particular, we give another proof for the existence of Kähler-Ricci solitons on a compact toric manifold with positive first Chern class by using the Kähler-Ricci flow. 0. Introduction. ...
B List has recently studied a geometric flow whose fixed points correspond to static Ricci flat spacetimes. It is now known that this flow is in fact Ricci flow modulo pullback by a certain diffeomorphism. We use this observation to associate to each static Ricci flat spacetime a local Ricci soliton in one higher dimension. As well, solutions of Euclidean-signature Einstein gravity coupled to a...
Consider the class of n-dimensional Riemannian spin manifolds with bounded sectional curvatures and diameter, and almost non-negative scalar curvature. Let r = 1 if n = 2, 3 and r = 2 + 1 if n ≥ 4. We show that if the square of the Dirac operator on such a manifold has r small eigenvalues, then the manifold is diffeomorphic to a nilmanifold and has trivial spin structure. Equivalently, if M is ...
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