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NEW CURVATURE TENSORS ALONG RIEMANNIAN SUBMERSIONS.
- Source :
-
Miskolc Mathematical Notes . 2023, Vol. 24 Issue 3, p1161-1184. 24p. - Publication Year :
- 2023
-
Abstract
- In 1966, B. O'Neill [The fundamental equations of a submersion, Michigan Math. J., Volume 13, Issue 4 (1966), 459-469.] defined some fundamental equations and curvature rela- tions between the total space, the base space and the fibres on a submersion. In the present paper, we define new curvature tensors on Riemannian submersions such as Weyl projective curvature tensor, concircular curvature tensor, conharmonic curvature tensor, conformal curvature tensor and M projective curvature tensor, respectively. Finally, we obtain some results in case of the total space of Riemannian submersions has umbilical fibres for any curvature tensors mentioned by the above. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RIEMANNIAN geometry
*GENERALIZED spaces
*TENSOR algebra
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 24
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 174194915
- Full Text :
- https://doi.org/10.18514/MMN.2023.4118