Application of the generalized Bochner technique to the study of conformally flat Riemannian manifolds

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73607696" target="_blank" >RIV/61989592:15310/21:73607696 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.mdpi.com/2227-7390/9/9/927/htm" target="_blank" >https://www.mdpi.com/2227-7390/9/9/927/htm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math9090927" target="_blank" >10.3390/math9090927</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Application of the generalized Bochner technique to the study of conformally flat Riemannian manifolds
Popis výsledku v původním jazyce
In this article, we discuss the global aspects of the geometry of locally conformally flat (complete and compact) Riemannian manifolds. In particular, the article reviews and improves some results (e.g., the conditions of compactness and degeneration into spherical or flat space forms) on the geometry “in the large" of locally conformally flat Riemannian manifolds. The results presented here were obtained using the generalized and classical Bochner technique, as well as the Ricci flow.
Název v anglickém jazyce
Application of the generalized Bochner technique to the study of conformally flat Riemannian manifolds
Popis výsledku anglicky
In this article, we discuss the global aspects of the geometry of locally conformally flat (complete and compact) Riemannian manifolds. In particular, the article reviews and improves some results (e.g., the conditions of compactness and degeneration into spherical or flat space forms) on the geometry “in the large" of locally conformally flat Riemannian manifolds. The results presented here were obtained using the generalized and classical Bochner technique, as well as the Ricci flow.

Rok uplatnění
2021
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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