On higher-order Codazzi tensors on complete Riemannian manifolds

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73596963" target="_blank" >RIV/61989592:15310/19:73596963 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10455-019-09673-w" target="_blank" >https://link.springer.com/article/10.1007%2Fs10455-019-09673-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10455-019-09673-w" target="_blank" >10.1007/s10455-019-09673-w</a>

Result language
angličtina
Original language name
On higher-order Codazzi tensors on complete Riemannian manifolds
Original language description
We prove several Liouville-type nonexistence theorems for higher-order Codazzi tensors and classical Codazzi tensors on complete and compact Riemannian manifolds, in particular. These results will be obtained by using theorems of the connections between the geometry of a complete smooth manifold and the global behavior of its subharmonic functions. In conclusion, we show applications of this method for global geometry of a complete locally conformally flatRiemannian manifold with constant scalar curvature because, its Ricci tensor is a Codazzi tensor and for global geometry of a complete hypersurface in a standard sphere because its second fundamental form is also a Codazzi tensor.
Czech name
—
Czech description
—

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

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)