Geodesics on a general subset M of Rn are considered. When M is the closure of an open subset with Lipschitz boundary and suitable topological conditions are fulfilled, the existence of a non-constant closed geodesic is proved.
Degiovanni, M., Morbini, L., Closed geodesics with Lipschitz obstacle, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 1999; 233 (2): 767-789. [doi:10.1006/jmaa.1999.6342] [https://hdl.handle.net/10807/312929]
Closed geodesics with Lipschitz obstacle
Degiovanni, Marco
Primo
Conceptualization
;
1999
Abstract
Geodesics on a general subset M of Rn are considered. When M is the closure of an open subset with Lipschitz boundary and suitable topological conditions are fulfilled, the existence of a non-constant closed geodesic is proved.
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