The Lichnerowicz Laplacian Acting on Symmetric Tensor Fields — The Bochner Technique Point of View

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F24%3A73627659" target="_blank" >RIV/61989592:15310/24:73627659 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10958-024-07036-w" target="_blank" >https://link.springer.com/article/10.1007/s10958-024-07036-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10958-024-07036-w" target="_blank" >10.1007/s10958-024-07036-w</a>

Result language
angličtina
Original language name
The Lichnerowicz Laplacian Acting on Symmetric Tensor Fields — The Bochner Technique Point of View
Original language description
In this paper, we prove vanishing theorems for the null space of the Laplacian admitting the Weizenböck decomposition and acting on the space of smooth sections of a Riemannian bundle and, in particular, the space of smooth sections of a bundle of symmetric tensors over complete and closed Riemannian manifolds. In addition, we give a general estimate for eigenvalues of the Laplacian admitting the Weizenböck decomposition and acting on the space of smooth sections of a bundle of symmetric tensors over closed Riemannian manifolds.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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