Bartolo, Rossella (2010) Geodesics on non-complete Finsler manifolds. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 26 (2). pp. 209-219. ISSN 0866-0174
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Abstract
In this note based on paper [3] we deal with domains D (i.e. connected open subsets) of a Finsler manifold (M, F). At first we carry out a comparison between different notions of convexity for their boundaries. Then a careful application of variational methods to the geodesic problem yields that the convexity of ∂D is equivalent to the existence of a minimal geodesic for each pair of points of D. Furthermore multiplicity of connecting geodesics can be obtained if D is not contractible.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Finsler manifold, minimizing geodesic, convex boundary, penalization technique |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 02 Feb 2024 08:34 |
| Last Modified: | 02 Feb 2024 08:34 |
| URI: | http://real.mtak.hu/id/eprint/187124 |
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