1. NEW CURVATURE TENSORS ALONG RIEMANNIAN SUBMERSIONS.
- Author
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AYAR, GÜLHAN and AKYOL, MEHMET AKIF
- Subjects
- *
RIEMANNIAN geometry , *GENERALIZED spaces , *TENSOR algebra , *ALGEBRA , *MATHEMATICS - 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]
- Published
- 2023
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