Loading...
Surfaces of revolution admitting strongly convex slope metrics
Author(s)
Chansri, Pipatpong
Date Issued
January 1, 2020
Type
Article
Abstract
This paper discusses the geometry of a surface endowed with a slope metric. We obtain necessary and sufficient conditions for any surface of revolution to admit a strongly convex slope metric. Such conditions involve certain inequalities for the derivative of the associated function on the Cartesian coordinate and the polar coordinate. In particular, we apply this result to a certain well-known surface of revolution.
Citation
Bulletin of the Transilvania University of Brasov Series III Mathematics Informatics Physics, 13(1), 77-88, 2020