Evolution of a geometric constant along the Ricci flow
نویسندگان
چکیده
منابع مشابه
Evolution of Yamabe constant under Ricci flow
In this note under a crucial technical assumption we derive a differential equality of Yamabe constant Y (g (t)) where g (t) is a solution of the Ricci flow on a closed n-manifold. As an application we show that when g (0) is a Yamabe metric at time t = 0 and Rgα n−1 is not a positive eigenvalue of the Laplacian ∆gα for any Yamabe metric gα in the conformal class [g0], then d dt ∣∣ t=0 Y (g (t)...
متن کاملEvolution of the first eigenvalue of buckling problem on Riemannian manifold under Ricci flow
Among the eigenvalue problems of the Laplacian, the biharmonic operator eigenvalue problems are interesting projects because these problems root in physics and geometric analysis. The buckling problem is one of the most important problems in physics, and many studies have been done by the researchers about the solution and the estimate of its eigenvalue. In this paper, first, we obtain the evol...
متن کاملA Class of Monotonic Quantities along the Ricci Flow
We construct a class of monotonic quantities along the normalized Ricci flow on closed n-dimensional manifolds.
متن کاملinvestigating the feasibility of a proposed model for geometric design of deployable arch structures
deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...
Discrete Ricci Flow for Geometric Routing
Discrete Ricci Flow for Geometric Routing Name: Jie Gao, Xianfeng David Gu, Feng Luo Affil./Addr. 1: Department of Computer Science, Stony Brook University, Stony Brook, NY, USA Affil./Addr. 2: Department of Mathematics, Rutgers University, Piscataway, NJ, USA
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2016
ISSN: 1029-242X
DOI: 10.1186/s13660-016-1003-6