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Semi-invariant Riemannian submersions from nearly Kaehler manifolds.
- Source :
-
International Journal of Geometric Methods in Modern Physics . Jul2020, Vol. 17 Issue 7, pN.PAG-N.PAG. 15p. - Publication Year :
- 2020
-
Abstract
- We study semi-invariant Riemannian submersions from a nearly Kaehler manifold to a Riemannian manifold. It is well known that the vertical distribution of a Riemannian submersion is always integrable therefore, we derive condition for the integrability of horizontal distribution of a semi-invariant Riemannian submersion and also investigate the geometry of the foliations. We discuss the existence and nonexistence of semi-invariant submersions such that the total manifold is a usual product manifold or a twisted product manifold. We establish necessary and sufficient conditions for a semi-invariant submersion to be a totally geodesic map. Finally, we study semi-invariant submersions with totally umbilical fibers. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MANIFOLDS (Mathematics)
*RIEMANNIAN manifolds
*GEOMETRY
*FOLIATIONS (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 02198878
- Volume :
- 17
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Publication Type :
- Academic Journal
- Accession number :
- 144220556
- Full Text :
- https://doi.org/10.1142/S0219887820501005