From infinitesimal harmonic transformations to Ricci solitons

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33145775" target="_blank" >RIV/61989592:15310/13:33145775 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

From infinitesimal harmonic transformations to Ricci solitons

Original language description

A Ricci soliton is a Riemannian metric g on a manifold together with a vector field ksí that are related in terms of the Lie derivative and the Ricci tensor of the metric by -2Ric=L ksí g+2lambdag for some constant lambda; Einstein manifolds are a particular case. The concept of Ricci soliton is related to harmonic mappings, namely, the vector field ksí making g into a metric of the Ricci soliton is necessarily an infinitesimal harmonic transformation. Moreover, on a compact manifold, the field ksí is gradient, ksí=gradF. The authors give examples of infinitesimal harmonic transformations and prove existence theorems for Ricci solitons on compact and non-compact manifolds.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematica Bohemica

ISSN

0862-7959

e-ISSN

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Volume of the periodical

138

Issue of the periodical within the volume

1

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

12

Pages from-to

25-36

UT code for WoS article

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EID of the result in the Scopus database

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