On biconservative hypersurfaces in Pseudo-Riemannian space forms and their Gauss map

Nurettin Cenk Turgay

doi:10.2298/PIM1817223T

On biconservative hypersurfaces in Pseudo-Riemannian space forms and their Gauss map

Nurettin Cenk Turgay^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

2 Atıf (Scopus)

Özet

We first present a survey about recent results on biconservative hypersurfaces in the Minkowski space E₁⁴, pseudo-Euclidean space E₂⁵ and Rieamnnian space-form H4. Then we obtain some geometrical properties of these hypersurface families concerning their mean curvature and Gauss map.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	223-236
Sayfa sayısı	14
Dergi	Publications de l'Institut Mathematique
Hacim	103
Basın numarası	117
DOI'lar	https://doi.org/10.2298/PIM1817223T
Yayın durumu	Yayınlandı - 2018

Bibliyografik not

Publisher Copyright:
© 2018, Mathematical Institute of the Serbian Academy of Sciences and Arts.

Finansman

Acknowledgements. This work was presented at the XIX Geometrical seminar held in Zlatibor, Serbia in 2016. The author would like to express his deep gratitude for the warm hospitality of the local committee of the conference. The author also wants to note that he is supported by The Scientific and Technological Research Council of Turkey (TÜBİTAK) (Project Name: ‘Y_EUCL2TIP’ Project Number: 114F199).

Finansörler	Finansör numarası
Scientific and Technological Research Council of Turkey
TÜBİTAK	114F199

Belgeye Erişim

10.2298/PIM1817223T

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On biconservative hypersurfaces in Pseudo-Riemannian space forms and their Gauss map",

abstract = "We first present a survey about recent results on biconservative hypersurfaces in the Minkowski space E14, pseudo-Euclidean space E25 and Rieamnnian space-form H4. Then we obtain some geometrical properties of these hypersurface families concerning their mean curvature and Gauss map.",

keywords = "Biconservative hypersurfaces, Biharmonic submanifolds, Finite type submanifolds, Lorentzian hypersurfaces",

author = "Turgay, \{Nurettin Cenk\}",

note = "Publisher Copyright: {\textcopyright} 2018, Mathematical Institute of the Serbian Academy of Sciences and Arts.",

year = "2018",

doi = "10.2298/PIM1817223T",

language = "English",

volume = "103",

pages = "223--236",

journal = "Publications de l'Institut Mathematique",

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TY - JOUR

T1 - On biconservative hypersurfaces in Pseudo-Riemannian space forms and their Gauss map

AU - Turgay, Nurettin Cenk

PY - 2018

Y1 - 2018

N2 - We first present a survey about recent results on biconservative hypersurfaces in the Minkowski space E14, pseudo-Euclidean space E25 and Rieamnnian space-form H4. Then we obtain some geometrical properties of these hypersurface families concerning their mean curvature and Gauss map.

AB - We first present a survey about recent results on biconservative hypersurfaces in the Minkowski space E14, pseudo-Euclidean space E25 and Rieamnnian space-form H4. Then we obtain some geometrical properties of these hypersurface families concerning their mean curvature and Gauss map.

KW - Biconservative hypersurfaces

KW - Biharmonic submanifolds

KW - Finite type submanifolds

KW - Lorentzian hypersurfaces

UR - https://www.scopus.com/pages/publications/85047002667

U2 - 10.2298/PIM1817223T

DO - 10.2298/PIM1817223T

M3 - Article

AN - SCOPUS:85047002667

SN - 0350-1302

VL - 103

SP - 223

EP - 236

JO - Publications de l'Institut Mathematique

JF - Publications de l'Institut Mathematique

IS - 117

ER -

On biconservative hypersurfaces in Pseudo-Riemannian space forms and their Gauss map

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap