A MECHANICS FOR THE RICCI FLOW-Reference-Cited by-同舟云学术

A MECHANICS FOR THE RICCI FLOW

Published:2009-08 Issue:05 Volume:06 Page:759-767
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

ABRAHAM S.¹,FERNÁNDEZ DE CÓRDOBA P.¹,ISIDRO JOSÉ M.¹,SANTANDER J. L. G.¹

Affiliation:

1. Grupo de Modelización Interdisciplinar, Instituto de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Valencia 46022, Spain

Abstract

We construct the classical mechanics associated with a conformally flat Riemannian metric on a compact, n-dimensional manifold without boundary. The corresponding gradient Ricci flow equation turns out to equal the time-dependent Hamilton–Jacobi equation of the mechanics so defined.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887809003825

Reference7 articles.

1. Equivalence principle, higher-dimensional Möbius group and the hidden antisymmetric tensor of quantum mechanics

2. Conformal Field Theory

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