Title of article
Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space
Author/Authors
AKYIGIT, MAHMUT Sakarya University - Faculty of Arts and Science - Department of Mathematics, Turkey , ERSOY, SOLEY Sakarya University - Faculty of Arts and Sciences - Department of Mathematics, Turkey , TOSUN, MURAT Sakarya University - Faculty of Arts and Science - Department of Mathematics, Turkey
From page
65
To page
83
Abstract
In this paper, we study the sectional curvatures of the generalized semi ruled surfaces in semi Euclidean space E^n+1_v. The first fundamental form and the metric coefficients of the generalized semi ruled surfaces are calculated and in these regards, Riemannian-Christoffel curvatures are obtained by the help of Christoffel Symbols. So, the curvatures of arbitrary non-degenerate tangential sections of the generalized semi ruled surface are investigated. In addition to this, the relations between the sectional curvatures are obtained. These are called semi Euclidean Beltrami-Meusnier formulas.
Keywords
Semi Euclidean space , ruled surface , sectional curvature , Beltrami , Meusnier formula.
Journal title
Kuwait Journal of Science
Journal title
Kuwait Journal of Science
Record number
2595271
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