Erhan Güler

Prof. Dr. Erhan Güler

Bartin University, Bartın, Turkey (Türkiye)
orcid

Research Focus & Metrics

Academic Career Length

21Years (2006-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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12 September 2018 in Symmetry
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Journal Article
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Erhan GülerErhan Güler
Erhan Güler
HHHasan Hilmi Hacısalihoğlu
Hasan Hilmi Hacısalihoğlu
YKYoung Ho Kim
Young Ho Kim
We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E 4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some results. Then, we introduce the third Laplace–Beltrami operator. Moreover, we calculate the third Laplace–Beltrami operator of the rotational hypersurface in E 4 . We also draw some figures of the rotational hypersurface.

1 January 2016 in Journal of Geometry and Symmetry in Physics
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Journal Article
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Erhan GülerErhan Güler
Erhan Güler
MMMartin Magid
Martin Magid
YYYusuf Yayli
Yusuf Yayli

1 December 2015 in Computers & Structures
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Journal Article
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GXGang Xu
Gang Xu
TRTimon Rabczuk
Timon Rabczuk
Erhan GülerErhan Güler
Erhan Güler
QWQing Wu
Qing Wu
KHKin-Chuen Hui
Kin-Chuen Hui
GWGuozhao Wang
Guozhao Wang

7 August 2023 in Mathematics
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YLYanlin Li
Yanlin Li
Erhan GülerErhan Güler
Erhan Güler
We present a family of hypersurfaces of revolution distinguished by four parameters in the five-dimensional pseudo-Euclidean space E25. The matrices corresponding to the fundamental form, Gauss map, and shape operator of this family are computed. By utilizing the Cayley–Hamilton theorem, we determine the curvatures of the specific family. Furthermore, we establish the criteria for maximality within this framework. Additionally, we reveal the relationship between the Laplace–Beltrami operator of the family and a 5×5 matrix.

16 April 2019 in Mediterranean Journal of Mathematics
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Erhan GülerErhan Güler
Erhan Güler
NTNurettin Cenk Turgay
Nurettin Cenk Turgay

30 April 2023 in International Electronic Journal of Geometry
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BCBang-Yen Chen
Bang-Yen Chen
Erhan GülerErhan Güler
Erhan Güler
Yusuf YaylıYusuf Yaylı
Yusuf Yaylı
HHHasan Hilmi Hacisali̇hoğlu
Hasan Hilmi Hacisali̇hoğlu
The theory of finite type submanifolds was introduced by the first author in late 1970s and it has become a useful tool for investigation of submanifolds. Later, the first author and P. Piccinni extended the notion of finite type submanifolds to finite type maps of submanifolds; in particular, to submanifolds with finite type Gauss map. Since then, there have been rapid developments in the theory of finite type. The simplest finite type submanifolds and submanifolds with finite type Gauss maps are those which are of 1-type. The classes of such submanifolds constitute very special and interesting families in the finite type theory.