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періодичних видань НАН України
The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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| dc.contributor.author | Sabau, S.V. | |
| dc.date.accessioned | 2019-02-15T18:53:04Z | |
| dc.date.available | 2019-02-15T18:53:04Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 53C60; 53C22 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.036 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147734 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | I am grateful to Professor M. Tanaka for bringing this topic into my attention and for many illuminating discussions. I am also deeply indebted to the anonymous referees for their constructive criticism and extremely useful suggestions that improved the manuscript enormously. Also I thank to N. Boonnam for reading an early version of the paper. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
