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Curvatures of Spherically Symmetric Metrics on Vector Bundles.
- Source :
-
Bulletin of the Iranian Mathematical Society . Jun2022, Vol. 48 Issue 3, p819-848. 30p. - Publication Year :
- 2022
-
Abstract
- This paper is devoted to study the geometry of vector bundle manifolds equipped with spherically symmetric metrics. We will compute the curvature tensor, the sectional curvature, the Ricci curvature tensor and the scalar curvature. We will then characterize spherically symmetric metrics of constant sectional curvature. Moreover, we will establish some rigidity results regarding the scalar curvature and the Ricci curvature. Finally, we investigate geodesics using the fundamental tensors of a submersion. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CURVATURE
*VECTOR bundles
*EINSTEIN manifolds
*GEODESICS
Subjects
Details
- Language :
- English
- ISSN :
- 10186301
- Volume :
- 48
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Iranian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 156859569
- Full Text :
- https://doi.org/10.1007/s41980-021-00549-z