Spherical Product Surfaces in E4-Reference-Cited by-同舟云学术

Spherical Product Surfaces in E4

Published:2012-05-01 Issue:1 Volume:20 Page:41-54
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
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Author:

Bulca Betül¹,Arslan Kadri¹,Bayram Bengü (Kılıç)²,Oztürk Günay³

Affiliation:

1. 1Department of Mathematics, 16059 Bursa, TURKEY

2. 2Balıkesir University, Department of Mathematics, Balıkesir, TURKEY

3. 3Kocaeli University, Department of Mathematics, 41380 Kocaeli, TURKEY

Abstract

Abstract In the present study we calculate the coefficients of the second fundamental form and curvature ellipse of spherical product surfaces in E4. Otsuki rotational surfaces and Ganchev-Milousheva rotational surfaces are the special type of spherical product surfaces in E4. Further, we give necessary and sufficient condition for the origin of NpM to lie on the curvature ellipse of such surfaces. Finally we get the necessary condition for Ganchev-Milousheva rotational surfaces in E4 to become flat or Chen type. We also give some examples of the projections of these surfaces in E3

Publisher

Walter de Gruyter GmbH

Link

https://content.sciendo.com/downloadpdf/journals/auom/20/1/article-p41.xml

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