On anti-invariant Riemannian submersions whose total manifolds are locally product Riemannian

Hakan Mete Taṣtan; Fatma Özdemir; Cem Sayar

doi:10.1007/s00022-016-0347-x

On anti-invariant Riemannian submersions whose total manifolds are locally product Riemannian

Hakan Mete Taṣtan
, Fatma Özdemir
, Cem Sayar^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul University
Istanbul Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

12 Atıf (Scopus)

Özet

In this paper, we study Riemannian, anti-invariant and Lagrangian submersions from locally product Riemannian manifolds onto Riemannian manifolds. We first give a characterization theorem for Riemannian submersions. It is proved that the fibers of a Lagrangian submersion are always totally geodesic. We also consider the first variational formula of anti-invariant Riemannian submersions and give a new condition for the harmonicity of such submersions.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	411-422
Sayfa sayısı	12
Dergi	Journal of Geometry
Hacim	108
Basın numarası	2
DOI'lar	https://doi.org/10.1007/s00022-016-0347-x
Yayın durumu	Yayınlandı - 1 Tem 2017

Bibliyografik not

Publisher Copyright:
© 2016, Springer International Publishing.

Belgeye Erişim

10.1007/s00022-016-0347-x

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On anti-invariant Riemannian submersions whose total manifolds are locally product Riemannian",

abstract = "In this paper, we study Riemannian, anti-invariant and Lagrangian submersions from locally product Riemannian manifolds onto Riemannian manifolds. We first give a characterization theorem for Riemannian submersions. It is proved that the fibers of a Lagrangian submersion are always totally geodesic. We also consider the first variational formula of anti-invariant Riemannian submersions and give a new condition for the harmonicity of such submersions.",

keywords = "Lagrangian submersion, Riemannian submersion, anti-invariant submersions, first variational formula, horizontal distribution, locally product Riemannian manifold",

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

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing.",

year = "2017",

month = jul,

day = "1",

doi = "10.1007/s00022-016-0347-x",

language = "English",

volume = "108",

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journal = "Journal of Geometry",

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T1 - On anti-invariant Riemannian submersions whose total manifolds are locally product Riemannian

AU - Taṣtan, Hakan Mete

AU - Özdemir, Fatma

AU - Sayar, Cem

PY - 2017/7/1

Y1 - 2017/7/1

N2 - In this paper, we study Riemannian, anti-invariant and Lagrangian submersions from locally product Riemannian manifolds onto Riemannian manifolds. We first give a characterization theorem for Riemannian submersions. It is proved that the fibers of a Lagrangian submersion are always totally geodesic. We also consider the first variational formula of anti-invariant Riemannian submersions and give a new condition for the harmonicity of such submersions.

AB - In this paper, we study Riemannian, anti-invariant and Lagrangian submersions from locally product Riemannian manifolds onto Riemannian manifolds. We first give a characterization theorem for Riemannian submersions. It is proved that the fibers of a Lagrangian submersion are always totally geodesic. We also consider the first variational formula of anti-invariant Riemannian submersions and give a new condition for the harmonicity of such submersions.

KW - Lagrangian submersion

KW - Riemannian submersion

KW - anti-invariant submersions

KW - first variational formula

KW - horizontal distribution

KW - locally product Riemannian manifold

UR - https://www.scopus.com/pages/publications/84987678563

U2 - 10.1007/s00022-016-0347-x

DO - 10.1007/s00022-016-0347-x

M3 - Article

AN - SCOPUS:84987678563

SN - 0047-2468

VL - 108

SP - 411

EP - 422

JO - Journal of Geometry

JF - Journal of Geometry

IS - 2

ER -

On anti-invariant Riemannian submersions whose total manifolds are locally product Riemannian

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

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