On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Nurettin Cenk Turgay; Abhitosh Upadhyay

doi:10.1002/mana.201700328

On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Nurettin Cenk Turgay
, Abhitosh Upadhyay^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Indian Institute of Science Bangalore

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

13 Atıf (Scopus)

Özet

In this paper, we study biconservative hypersurfaces in S ⁿ and H ⁿ . Further, we obtain complete explicit classifications of biconservative hypersurfaces in 4-dimensional Riemannian space forms with exactly three distinct principal curvatures.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	905-921
Sayfa sayısı	17
Dergi	Mathematische Nachrichten
Hacim	292
Basın numarası	4
DOI'lar	https://doi.org/10.1002/mana.201700328
Yayın durumu	Yayınlandı - Nis 2019

Bibliyografik not

Publisher Copyright:
© 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Finansman

The authors would like to express their sincere gratitude to referees for their valuable suggestions. The first named author is supported by TÜBİTAK (Project Name: 'Y_EUCL2TIP' Project Number: 114F199) whereas the second author is supported by National Post-doctoral Fellowship of Science and Engineering Research Board (SERB) File No.: PDF/2017/001165, Government of India.

Finansörler	Finansör numarası
National Post-doctoral Fellowship of Science and Engineering Research Board
TÜBİTAK	114F199
Science and Engineering Research Board

Belgeye Erişim

10.1002/mana.201700328

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On biconservative hypersurfaces in 4-dimensional Riemannian space forms",

abstract = " In this paper, we study biconservative hypersurfaces in S n and H n . Further, we obtain complete explicit classifications of biconservative hypersurfaces in 4-dimensional Riemannian space forms with exactly three distinct principal curvatures.",

keywords = "Primary: 53D12; 53C42, Riemannian space forms, biconservative hypersurfaces, biharmonic submanifolds, null 2-type submanifolds",

author = "Turgay, \{Nurettin Cenk\} and Abhitosh Upadhyay",

note = "Publisher Copyright: {\textcopyright} 2019 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim",

year = "2019",

month = apr,

doi = "10.1002/mana.201700328",

language = "English",

volume = "292",

pages = "905--921",

journal = "Mathematische Nachrichten",

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TY - JOUR

T1 - On biconservative hypersurfaces in 4-dimensional Riemannian space forms

AU - Turgay, Nurettin Cenk

AU - Upadhyay, Abhitosh

PY - 2019/4

Y1 - 2019/4

N2 - In this paper, we study biconservative hypersurfaces in S n and H n . Further, we obtain complete explicit classifications of biconservative hypersurfaces in 4-dimensional Riemannian space forms with exactly three distinct principal curvatures.

AB - In this paper, we study biconservative hypersurfaces in S n and H n . Further, we obtain complete explicit classifications of biconservative hypersurfaces in 4-dimensional Riemannian space forms with exactly three distinct principal curvatures.

KW - Primary: 53D12; 53C42

KW - Riemannian space forms

KW - biconservative hypersurfaces

KW - biharmonic submanifolds

KW - null 2-type submanifolds

UR - https://www.scopus.com/pages/publications/85060683693

U2 - 10.1002/mana.201700328

DO - 10.1002/mana.201700328

M3 - Article

AN - SCOPUS:85060683693

SN - 0025-584X

VL - 292

SP - 905

EP - 921

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 4

ER -

On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap