On the Sampson Laplacian

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73597301" target="_blank" >RIV/61989592:15310/19:73597301 - isvavai.cz</a>

Result on the web

<a href="http://www.doiserbia.nb.rs/img/doi/0354-5180/2019/0354-51801904059S.pdf" target="_blank" >http://www.doiserbia.nb.rs/img/doi/0354-5180/2019/0354-51801904059S.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2298/FIL1904059S" target="_blank" >10.2298/FIL1904059S</a>

Result language

angličtina

Original language name

On the Sampson Laplacian

Original language description

In the present paper we consider the little-known Sampson operator that is strongly elliptic and self-adjoint second order differential operator acting on covariant symmetric tensors on Riemannian manifolds. First of all, we review the results on this operator. Then we consider the properties of the Sampson operator acting on one-forms and symmetric two-tensors. We study this operator using the analytical method, due to Bochner, of proving vanishing theorems for the null space of a Laplace operator admitting a Weitzenbock decomposition. Further we estimate operator’s lowest eigenvalue.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2019

Confidentiality

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

Name of the periodical

Filomat

ISSN

0354-5180

e-ISSN

—

Volume of the periodical

33

Issue of the periodical within the volume

4

Country of publishing house

RS - THE REPUBLIC OF SERBIA

Number of pages

12

Pages from-to

"1059–1070"

UT code for WoS article

000496191800008

EID of the result in the Scopus database

2-s2.0-85078318407