Ricci-Yamabe maps for Riemannian flows and their volume variation and volume entropy

Autor:	Guler, Sinem, Crasmareanu, Mircea
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Mathematics - Differential Geometry Differential Geometry (math.DG) Riemannian flow Ricci-Yamabe map volume variation volume entropy FOS: Mathematics Mathematics::Differential Geometry
Zdroj:	Volume: 43, Issue: 5 2631-2641 Turkish Journal of Mathematics
ISSN:	1300-0098 1303-6149
Popis:	The aim of this short note is to produce new examples of geometrical flows associated to a given Riemannian flow $g(t)$. The considered flow in covariant symmetric $2$-tensor fields will be called Ricci-Yamabe map since it involves a scalar combination of Ricci tensor and scalar curvature of $g(t)$. Due to the signs of considered scalars the Ricci-Yamabe flow can be also a Riemannian or semi-Riemannian or singular Riemannian flow. We study the associated function of volume variation as well as the volume entropy. Finally, since the two-dimensional case was the most commonly addressed situation we express the Ricci flow equation in all four orthogonal separable coordinate systems of the plane.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3290fa9f57f8449db42c9e8ec7bdc8ae http://arxiv.org/abs/1706.09368 Zobrazit plný text záznamu