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The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions
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 th...
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Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2016
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147734 |
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