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   <dc:title>Weak geodesics on prox-regular subsets of Riemannian manifolds</dc:title>
   <dc:creator>Ferrera Cuesta, Juan</dc:creator>
   <dc:creator>Pouryayevali, Mohamad R.</dc:creator>
   <dc:creator>Radmanesh, Hajar</dc:creator>
   <dcterms:abstract>We give a definition of weak geodesics on prox-regular subsets of Riemannian manifolds as continuous curves with some weak regularities. Then obtaining a suitable Lipschitz constant of the projection map, we characterize weak geodesics on a prox-regular set with assigned end points as viscosity critical points of the energy functional.</dcterms:abstract>
   <dcterms:dateAccepted>2023-06-22T10:48:44Z</dcterms:dateAccepted>
   <dcterms:available>2023-06-22T10:48:44Z</dcterms:available>
   <dcterms:created>2023-06-22T10:48:44Z</dcterms:created>
   <dcterms:issued>2022</dcterms:issued>
   <dc:type>journal article</dc:type>
   <dc:identifier>https://hdl.handle.net/20.500.14352/71711</dc:identifier>
   <dc:identifier>XXXX-XXXX</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>4002602</dc:relation>
   <dc:rights>https://creativecommons.org/licenses/by-nc-sa/3.0/es/</dc:rights>
   <dc:rights>open access</dc:rights>
   <dc:rights>Atribución-NoComercial-CompartirIgual 3.0 España</dc:rights>
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