A Revision on Geodesic Pseudo-Convex Combination and Knaster–Kuratowski–Mazurkiewicz Theorem on Hadamard Manifolds View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-03-28

AUTHORS

Li-wen Zhou, Nan-jing Huang

ABSTRACT

In this paper, we point out that a recent characterization of geodesic convex hull on Hadamard manifolds is not rigorous and explain why the characterization does not hold like it in linear spaces. Therefore, a definition of geodesic pseudo-convex combination is proposed to show that the Knaster–Kuratowski–Mazurkiewicz theorem still holds under some mild conditions on Hadamard manifolds. More... »

PAGES

1-13

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10957-019-01511-0

DOI

http://dx.doi.org/10.1007/s10957-019-01511-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1113050138


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