On the Gauss map of a class of hypersurfaces in ℍ4

Nurettin Cenk Turgay; Erhan Güler

doi:10.1063/1.5078481

On the Gauss map of a class of hypersurfaces in ℍ⁴

Nurettin Cenk Turgay^*
, Erhan Güler

^*Corresponding author for this work

Department of Mathematics Engineering

Bartln University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We consider hypersurfaces of Riemannian space forms in terms of the type of their Gauss map, spherical Gauss map or hyperbolic Gauss map. We give a brief summary of results on submanifolds with L_k finite type Gauss map for k > 0. We also obtain some classification results.

Original language	English
Title of host publication	Proceedings of the 7th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA 2018
Editors	Murat Tosun
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735417632
DOIs	https://doi.org/10.1063/1.5078481
Publication status	Published - 14 Nov 2018
Event	7th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA 2018 - Kyiv, Ukraine Duration: 28 Aug 2018 → 31 Aug 2018

Publication series

Name	AIP Conference Proceedings
Volume	2037
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	7th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA 2018
Country/Territory	Ukraine
City	Kyiv
Period	28/08/18 → 31/08/18

Bibliographical note

Publisher Copyright:
© 2018 Author(s).

Access to Document

10.1063/1.5078481

Cite this

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title = "On the Gauss map of a class of hypersurfaces in ℍ4 ",

abstract = "We consider hypersurfaces of Riemannian space forms in terms of the type of their Gauss map, spherical Gauss map or hyperbolic Gauss map. We give a brief summary of results on submanifolds with Lk finite type Gauss map for k > 0. We also obtain some classification results.",

author = "Turgay, \{Nurettin Cenk\} and Erhan G{\"u}ler",

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Turgay, NC & Güler, E 2018, On the Gauss map of a class of hypersurfaces in ℍ⁴ in M Tosun (ed.), Proceedings of the 7th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA 2018., 020026, AIP Conference Proceedings, vol. 2037, American Institute of Physics Inc., 7th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA 2018, Kyiv, Ukraine, 28/08/18. https://doi.org/10.1063/1.5078481

On the Gauss map of a class of hypersurfaces in ℍ⁴ . / Turgay, Nurettin Cenk; Güler, Erhan.
Proceedings of the 7th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA 2018. ed. / Murat Tosun. American Institute of Physics Inc., 2018. 020026 (AIP Conference Proceedings; Vol. 2037).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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