Title of article :
Self Similar Surfaces in Euclidean Spaces
Author/Authors :
Etemoglu, E. Uludag University - Department of Mathematics, Turkiye , Arslan, K. Uludag University - Department of Mathematics, Turkey , Bulca, B. Uludag University - Department of Mathematics, Turkiye
Abstract :
In the present study we consider self-similar surfaces imbedded in Euclidean space. We give necessary and sufficient conditions for the surface of revolution and surfaces with Monge patch in E^3 to become self-similar. Further, we investigate self-similar surfaces in Euclidean 4-space E^4:Additionally we give necessary and sufficient condition of spherical product surfaces and smooth surfaces given with the Monge patch in E^4 to become self-similar.
Keywords :
Monge patch , Surface of revolution surface , Self , similar surface
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics
