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Back to Tachibana numbers of Riemannian manifolds

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F24%3A73627448" target="_blank" >RIV/61989592:15310/24:73627448 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.pmf.ni.ac.rs/filomat-content/2024/38-31/38-31-7-25169.pdf" target="_blank" >https://www.pmf.ni.ac.rs/filomat-content/2024/38-31/38-31-7-25169.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.2298/FIL2431913M" target="_blank" >10.2298/FIL2431913M</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Back to Tachibana numbers of Riemannian manifolds

  • Original language description

    The Tachibana number tp(M) of a closed n-dimensional Riemannian manifold (M,g) is defined as the dimension of the vector space of conformally Killing p-forms, for 1 ≤ p ≤ n − 1, on (M,g). In this paper, we will prove vanishing and estimate propositions for Tachibana numbers tp(M) of closed n-dimensional Riemannian manifolds, serving as analogues to the vanishing and estimate theorems for their Betti numbers bp(M).

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2024

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Filomat

  • ISSN

    0354-5180

  • e-ISSN

    2406-0933

  • Volume of the periodical

    38

  • Issue of the periodical within the volume

    31

  • Country of publishing house

    RS - THE REPUBLIC OF SERBIA

  • Number of pages

    6

  • Pages from-to

    10913-10918

  • UT code for WoS article

    001468000400007

  • EID of the result in the Scopus database

    2-s2.0-85215543223