The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions
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| Creator |
Sabau, S.V.
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| Description |
We show that the co-rays to a ray in a complete non-compact Finsler manifold contain geodesic segments to upper level sets of Busemann functions. Moreover, we characterise the co-point set to a ray as the cut locus of such level sets. The structure theorem of the co-point set on a surface, namely that is a local tree, and other properties follow immediately from the known results about the cut locus. We point out that some of our findings, in special the relation of co-point set to the upper lever sets, are new even for Riemannian manifolds.
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| Date |
2019-02-15T18:53:04Z
2019-02-15T18:53:04Z 2016 |
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| Type |
Article
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| Identifier |
The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions / S.V. Sabau // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 12 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53C60; 53C22 DOI:10.3842/SIGMA.2016.036 http://dspace.nbuv.gov.ua/handle/123456789/147734 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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