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Bibliographic Details
Main Authors:	Zhou, Li-wen, Liu, Ling-ling, Min, Chao, Zhang, Yao-jia, Huang, Nan-Jing
Format:	Preprint
Published:	2024
Subjects:	Optimization and Control
Online Access:	https://arxiv.org/abs/2401.13316
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In this paper, we first establish the separation theorem between a point and a locally geodesic convex set and then prove the existence of a supporting quasi-hyperplane at any point on the boundary of the closed locally geodesic convex set on a Riemannian manifold. As applications, some optimality conditions are obtained for optimization problems with constraints on Riemannian manifolds.