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

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul Technical University
Istanbul University
Banaras Hindu University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

15 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	809-831
Sayfa sayısı	23
Dergi	Bulletin of the Malaysian Mathematical Sciences Society
Hacim	43
Basın numarası	1
DOI'lar	https://doi.org/10.1007/s40840-018-00716-2
Yayın durumu	Yayınlandı - 1 Oca 2020

Bibliyografik not

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

Belgeye Erişim

10.1007/s40840-018-00716-2

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{ccb8255bed674bd195bf27d5d168239c,

title = "Generic Submersions from Kaehler Manifolds",

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.",

keywords = "Generic submersion, Horizontal distribution, Kaehlerian manifold, Riemannian submersion, Skew CR-submersion",

author = "Cem Sayar and Taṣtan, \{Hakan Mete\} and Fatma {\"O}zdemir and Tripathi, \{Mukut Mani\}",

note = "Publisher Copyright: {\textcopyright} 2019, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.",

year = "2020",

month = jan,

day = "1",

doi = "10.1007/s40840-018-00716-2",

language = "English",

volume = "43",

pages = "809--831",

journal = "Bulletin of the Malaysian Mathematical Sciences Society",

issn = "0126-6705",

publisher = "Springer Singapore",

number = "1",

}

TY - JOUR

T1 - Generic Submersions from Kaehler Manifolds

AU - Sayar, Cem

AU - Taṣtan, Hakan Mete

AU - Özdemir, Fatma

AU - Tripathi, Mukut Mani

PY - 2020/1/1

Y1 - 2020/1/1

N2 - 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.

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.

KW - Generic submersion

KW - Horizontal distribution

KW - Kaehlerian manifold

KW - Riemannian submersion

KW - Skew CR-submersion

UR - https://www.scopus.com/pages/publications/85074147937

U2 - 10.1007/s40840-018-00716-2

DO - 10.1007/s40840-018-00716-2

M3 - Article

AN - SCOPUS:85074147937

SN - 0126-6705

VL - 43

SP - 809

EP - 831

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 1

ER -

Generic Submersions from Kaehler Manifolds

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap