Betti and Tachibana numbers of compact Riemannian manifolds

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33145716" target="_blank" >RIV/61989592:15310/13:33145716 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.difgeo.2013.04.004" target="_blank" >http://dx.doi.org/10.1016/j.difgeo.2013.04.004</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.difgeo.2013.04.004" target="_blank" >10.1016/j.difgeo.2013.04.004</a>

Result language

angličtina

Original language name

Betti and Tachibana numbers of compact Riemannian manifolds

Original language description

We present definitions and properties of conformal Killing forms on a Riemannian manifold and determine Tachibana numbers as analogs of the well known Betti numbers of a compact Riemannian manifold. We show some sets of conditions which characterize these numbers. Finally, we prove some results which establish relationships between Betti and Tachibana numbers.

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

Differential Geometry and Its Applications

ISSN

0926-2245

e-ISSN

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Volume of the periodical

31

Issue of the periodical within the volume

4

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

10

Pages from-to

486-495

UT code for WoS article

000321537400004

EID of the result in the Scopus database

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