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ON THE REGULARITY OF SETS IN RIEMANNIAN MANIFOLDS
Part of
- Calculus on manifolds; nonlinear operators
- Existence theories
A. SEPAHVAND, A. BARANI
Journal:

Journal of the Australian Mathematical Society / Volume 110 / Issue 3 / June 2021

Published online by Cambridge University Press:

18 March 2020, pp. 386-405

Print publication:

June 2021
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This paper is devoted to the study of the normal (tangential) regularity of a closed set and the subdifferential (directional) regularity of its distance function in the context of Riemannian manifolds. The Clarke, Fréchet and proximal subdifferentials of the distance function from a closed subset in a Riemannian manifold are represented by corresponding normal cones of the set.

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ON THE REGULARITY OF SETS IN RIEMANNIAN MANIFOLDS