CLAIRAUT ANTI-INVARIANT SUBMERSIONS FROM NEARLY KÄHLER MANIFOLDS

Authors

  • P. Gupta Department of Mathematics and Statistics, Dr. Harisingh Gour University, Sagar-470 003, Madhya Pradesh, India Author
  • A. K. Rai University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University, Delhi, India Author

Keywords:

Riemannian submersion, nearly Kähler manifolds, anti-invariant submersion, Clairaut submersion, totally geodesic maps

Subjects:

53C12, 53C15, 53C20, 53C55

Abstract

In the present paper, we investigate geometricproperties of Clairaut anti-invariant submersions whose total spaces arenearly Kähler manifolds. We obtain a condition for a Clairautanti-invariant submersion to be a totally geodesic map and also studyClairaut anti-invariant submersions with totally umbilical fibers.

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Published

2022-07-15

Issue

Vol. 74 No. 3 (2022): Vol. 74, Issue 3

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.