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].
The existence of patterns on surfaces of revolution without boundary / F. Punzo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 77:1(2013), pp. 94-102.
The existence of patterns on surfaces of revolution without boundary
F. Punzo
2013
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].
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