Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator

Aykut Kayhan; Nurettin Cenk Turgay

doi:10.1007/s00009-023-02286-5

Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator

Aykut Kayhan
, Nurettin Cenk Turgay^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Faculty of Education
Istanbul Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

1 Atıf (Scopus)

Özet

In this paper, we study biconservative isometric immersions into Minkowski 4-space E14. We obtain the local classification of biconservative hypersurfaces with non-diagonalizable shape operator. As a result, we complete the local study of biconservative hypersurfaces of E14 initiated in Fu and Turgay (Int J Math 27:1650041, 2016). We also get some results considering the intrinsic properties of this class of hypersurfaces.

Orijinal dil	İngilizce
Makale numarası	105
Dergi	Mediterranean Journal of Mathematics
Hacim	20
Basın numarası	3
DOI'lar	https://doi.org/10.1007/s00009-023-02286-5
Yayın durumu	Yayınlandı - Haz 2023

Bibliyografik not

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Finansman

This work is a part of the first author’s doctoral thesis. The manuscript has no associate data.

Belgeye Erişim

10.1007/s00009-023-02286-5

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator",

abstract = "In this paper, we study biconservative isometric immersions into Minkowski 4-space E14. We obtain the local classification of biconservative hypersurfaces with non-diagonalizable shape operator. As a result, we complete the local study of biconservative hypersurfaces of E14 initiated in Fu and Turgay (Int J Math 27:1650041, 2016). We also get some results considering the intrinsic properties of this class of hypersurfaces.",

keywords = "Biconservative hypersurfaces, biharmonic isometric immersions, Minkowski space, non-diagonalizable shape operator",

author = "Aykut Kayhan and Turgay, \{Nurettin Cenk\}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2023",

month = jun,

doi = "10.1007/s00009-023-02286-5",

language = "English",

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journal = "Mediterranean Journal of Mathematics",

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TY - JOUR

T1 - Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator

AU - Kayhan, Aykut

AU - Turgay, Nurettin Cenk

PY - 2023/6

Y1 - 2023/6

N2 - In this paper, we study biconservative isometric immersions into Minkowski 4-space E14. We obtain the local classification of biconservative hypersurfaces with non-diagonalizable shape operator. As a result, we complete the local study of biconservative hypersurfaces of E14 initiated in Fu and Turgay (Int J Math 27:1650041, 2016). We also get some results considering the intrinsic properties of this class of hypersurfaces.

AB - In this paper, we study biconservative isometric immersions into Minkowski 4-space E14. We obtain the local classification of biconservative hypersurfaces with non-diagonalizable shape operator. As a result, we complete the local study of biconservative hypersurfaces of E14 initiated in Fu and Turgay (Int J Math 27:1650041, 2016). We also get some results considering the intrinsic properties of this class of hypersurfaces.

KW - Biconservative hypersurfaces

KW - biharmonic isometric immersions

KW - Minkowski space

KW - non-diagonalizable shape operator

UR - https://www.scopus.com/pages/publications/85148446821

U2 - 10.1007/s00009-023-02286-5

DO - 10.1007/s00009-023-02286-5

M3 - Article

AN - SCOPUS:85148446821

SN - 1660-5446

VL - 20

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 3

M1 - 105

ER -

Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap