Spherical product surfaces in e-4
Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ovidius Univ Press
Abstract
In the present study we calculate the coefficients of the second fundamental form and curvature ellipse of spherical product surfaces in E-4. Otsuki rotational surfaces and Ganchev-Milousheva rotational surfaces are the special type of spherical product surfaces in E-4. 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 E-4 to become flat or Chen type. We also give some examples of the projections of these surfaces in E-3.
Description
Keywords
Mathematics, Second fundamental form, Curvature ellipse, Spherical product, Otsuiki surface
Citation
Bulca, B. vd. (2012). "Spherical product surfaces in e-4". Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, 20(1), 41-54.