We study existence and nonexistence of patterns on Riemannian manifolds, depending on the Ricci curvature of the manifold and suitable assumptions on the boundary. In the case of surfaces of revolutions in R3, necessary and sufficient conditions for existence of patterns are given. © 2011 Elsevier Inc.
Existence and nonexistence of patterns on Riemannian manifolds
BANDLE, CATHERINE;PUNZO, FABIO;
2012-01-01
Abstract
We study existence and nonexistence of patterns on Riemannian manifolds, depending on the Ricci curvature of the manifold and suitable assumptions on the boundary. In the case of surfaces of revolutions in R3, necessary and sufficient conditions for existence of patterns are given. © 2011 Elsevier Inc.File in questo prodotto:
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