We give a sufficient condition for the existence of patterns on surfaces of revolution of R3 without boundary. Such a condition involves the Gauss curvature of the surface and the geodesic curvature of parallels. An analogous result for surfaces of revolution with boundary is established in Bandle et al. (2012) [4]. © 2012 Elsevier Ltd. All rights reserved.
The existence of patterns on surfaces of revolution without boundary
PUNZO, FABIO
2013-01-01
Abstract
We give a sufficient condition for the existence of patterns on surfaces of revolution of R3 without boundary. Such a condition involves the Gauss curvature of the surface and the geodesic curvature of parallels. An analogous result for surfaces of revolution with boundary is established in Bandle et al. (2012) [4]. © 2012 Elsevier Ltd. All rights reserved.File in questo prodotto:
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