Generic Submersions from Kaehler Manifolds

Cem Sayar; Hakan Mete Taṣtan; Fatma Özdemir; Mukut Mani Tripathi

doi:10.1007/s40840-018-00716-2

Generic Submersions from Kaehler Manifolds

Cem Sayar^*, Hakan Mete Taṣtan, Fatma Özdemir, Mukut Mani Tripathi

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

In the present paper, we introduce a new kind of Riemannian submersion such that the fibers of such submersion are generic submanifolds in the sense of Ronsse that we call generic submersion. Some examples are given for generic submersion. Necessary and sufficient conditions are found for the integrability and totally geodesicness of the distributions which are mentioned in the definition. The geometry of the fibers is investigated. New results are obtained by considering the parallelism condition of canonical structures.

Original language	English
Pages (from-to)	809-831
Number of pages	23
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	43
Issue number	1
DOIs	https://doi.org/10.1007/s40840-018-00716-2
Publication status	Published - 1 Jan 2020

Bibliographical note

Publisher Copyright:
© 2019, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.

Keywords

Generic submersion
Horizontal distribution
Kaehlerian manifold
Riemannian submersion
Skew CR-submersion

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10.1007/s40840-018-00716-2

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AU - Özdemir, Fatma

AU - Tripathi, Mukut Mani

PY - 2020/1/1

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AB - In the present paper, we introduce a new kind of Riemannian submersion such that the fibers of such submersion are generic submanifolds in the sense of Ronsse that we call generic submersion. Some examples are given for generic submersion. Necessary and sufficient conditions are found for the integrability and totally geodesicness of the distributions which are mentioned in the definition. The geometry of the fibers is investigated. New results are obtained by considering the parallelism condition of canonical structures.

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KW - Horizontal distribution

KW - Kaehlerian manifold

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KW - Skew CR-submersion

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Generic Submersions from Kaehler Manifolds

Abstract

Bibliographical note

Keywords

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