The spectral theory of the Yano rough Laplacian with some of its applications

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155873" target="_blank" >RIV/61989592:15310/15:33155873 - isvavai.cz</a>

Výsledek na webu

<a href="http://link.springer.com/article/10.1007%2Fs10455-015-9455-3" target="_blank" >http://link.springer.com/article/10.1007%2Fs10455-015-9455-3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10455-015-9455-3" target="_blank" >10.1007/s10455-015-9455-3</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The spectral theory of the Yano rough Laplacian with some of its applications

Popis výsledku v původním jazyce

J.H. Sampson has defined the Laplacian acting on the space of symmetric covariant tensors on Riemannian manifolds. This operator is an analogue of the well-known Hodge-de Rham Laplacian which acts on the space of skew-symmetric covariant tensors on Riemannian manifolds. In the present paper, we perform properties analysis of Sampson operator which acts on one-forms. We show that the Sampson operator is the Yano rough Laplacian. We also find the biggest lower bounds of spectra of the Yano and Hodge-de Rham operators and obtain estimates of their multiplicities for the space of one-forms on compact Riemannian manifolds with negative and positive Ricci curvatures, respectively.

Název v anglickém jazyce

The spectral theory of the Yano rough Laplacian with some of its applications

Popis výsledku anglicky

J.H. Sampson has defined the Laplacian acting on the space of symmetric covariant tensors on Riemannian manifolds. This operator is an analogue of the well-known Hodge-de Rham Laplacian which acts on the space of skew-symmetric covariant tensors on Riemannian manifolds. In the present paper, we perform properties analysis of Sampson operator which acts on one-forms. We show that the Sampson operator is the Yano rough Laplacian. We also find the biggest lower bounds of spectra of the Yano and Hodge-de Rham operators and obtain estimates of their multiplicities for the space of one-forms on compact Riemannian manifolds with negative and positive Ricci curvatures, respectively.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Annals of Global Analysis and Geometry

ISSN

0232-704X

e-ISSN

—

Svazek periodika

48

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

10

Strana od-do

37-46

Kód UT WoS článku

000355144200003

EID výsledku v databázi Scopus

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