A simple pursuit-evasion problem on a ball of a Riemannian manifold

DOI10.1134/S0001434609010222zbMath1179.91049OpenAlexW2086832705WikidataQ115253994 ScholiaQ115253994MaRDI QIDQ1033911

Atamurat Kuchkarov

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609010222

zbMATH Keywords

Riemannian manifoldBorel measurepursuit-evasion problemgeodesic lineadmissible strategypursuit completionsimple pursuit and evasionstrong local convexity

Mathematics Subject Classification ID

Other game-theoretic models (91A40) Positional games (pursuit and evasion, etc.) (91A24) Local Riemannian geometry (53B20)

Related Items

Cops and robber game on infinite chessboard, Simple motion pursuit and evasion differential games with many pursuers on manifolds with Euclidean metric

Cites Work

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• The problem of optimal approach in locally Euclidean spaces
• On a problem of escape along a prescribed curve
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• A differential game of simple approach in manifolds
• A pursuit problem under phase constraints