A classification of biconservative hypersurfaces in a pseudo-Euclidean space

Abhitosh Upadhyay; Nurettin Cenk Turgay

doi:10.1016/j.jmaa.2016.07.053

A classification of biconservative hypersurfaces in a pseudo-Euclidean space

Abhitosh Upadhyay^*
, Nurettin Cenk Turgay

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Harish Chandra Research Institute
Amity University, Noida

Araştırma çıktısı: Dergi yayını › Makale › Hakem

16 Atıf (Scopus)

Özet

In this paper, we study biconservative hypersurfaces of index 2 in E₂⁵. We give the complete classification of biconservative hypersurfaces with diagonalizable shape operator with exactly three distinct principal curvatures. We also give an explicit example of biconservative hypersurfaces with four distinct principal curvatures.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1703-1720
Sayfa sayısı	18
Dergi	Journal of Mathematical Analysis and Applications
Hacim	444
Basın numarası	2
DOI'lar	https://doi.org/10.1016/j.jmaa.2016.07.053
Yayın durumu	Yayınlandı - 15 Ara 2016

Bibliyografik not

Publisher Copyright:
© 2016 Elsevier Inc.

Finansman

The second named author is supported by “The Scientific and Technological Research Council of Turkey (TÜBİTAK)” (Project Name: ‘Y_EUCL2TIP’ Project Number: 114F199 ). First author is supported by post-doctoral scholarship of “Harish-Chandra Research Institute (HRI)”, Department of Atomic Energy, Government of India . He is also thankful to the “Amity University, Noida, Uttar Pradesh, India” to sanction leave for his post-doctoral research in HRI.

Finansörler	Finansör numarası
TÜBİTAK	114F199
Department of Atomic Energy, Government of India
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Belgeye Erişim

10.1016/j.jmaa.2016.07.053

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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abstract = "In this paper, we study biconservative hypersurfaces of index 2 in E25. We give the complete classification of biconservative hypersurfaces with diagonalizable shape operator with exactly three distinct principal curvatures. We also give an explicit example of biconservative hypersurfaces with four distinct principal curvatures.",

keywords = "Biconservative hypersurfaces, Biharmonic submanifolds, Null 2-type submanifolds, Pseudo-Euclidean space",

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AB - In this paper, we study biconservative hypersurfaces of index 2 in E25. We give the complete classification of biconservative hypersurfaces with diagonalizable shape operator with exactly three distinct principal curvatures. We also give an explicit example of biconservative hypersurfaces with four distinct principal curvatures.

KW - Biconservative hypersurfaces

KW - Biharmonic submanifolds

KW - Null 2-type submanifolds

KW - Pseudo-Euclidean space

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ER -

A classification of biconservative hypersurfaces in a pseudo-Euclidean space

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap