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^*

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	223-236
Number of pages	14
Journal	Publications de l'Institut Mathematique
Volume	103
Issue number	117
DOIs	https://doi.org/10.2298/PIM1817223T
Publication status	Published - 2018

Bibliographical note

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

Funding

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).

Funders	Funder number
Scientific and Technological Research Council of Turkey
TÜBİTAK	114F199

Keywords

Biconservative hypersurfaces
Biharmonic submanifolds
Finite type submanifolds
Lorentzian hypersurfaces

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10.2298/PIM1817223T

Cite this

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

Abstract

Bibliographical note

Funding

Keywords

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