ℱ K-convex functions on metric spaces

Manuscripta Mathematica

Volumn 110, Issue 1, 2003, Pages 115-133

  Alexander, Stephanie ^a   Bishop, Richard L ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037934664     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00229-002-0330-8     Document Type: Article

References (19)

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3. [AB3] Alexander, S.B., Bishop, R.L.: Curvature bounds for warped products of metric spaces, in preparation
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11. [G] Gromov, M.: Hyperbolic manifolds, groups and actions. I. Kra, B. Maskit (eds.), Riemann Surfaces and Related Topics, Annals of Math. Studies 97, Princeton University, 183-213 (1981)
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13. [K] Kleiner, B.: The local structure of length spaces of curvature bounded above. Math. Z., 409-456 (1999)
14. [M] Mashiko, Y.: Convex functions on Alexandrov surfaces. Trans. A. M. S. 351, 3549-3567 (1998)
15. [N] Nikolaev, I.: The tangent cone of an Alexandrov space of curvature ≤ K. Manuscripta Math. 86, 683-689 (1995)
16. [Pe] Perelman, G.: Alexandrov's spaces with curvature bounded from below II, preprint (1991)
17. [PP] Perelman, G., Petrunin, A.: Quasigeodesics and gradient curves in Alexandrov spaces, preprint (1994)
18. [Pl] Plaut, C: Metric spaces of curvature ≥ k. R. Daverman, R. Sher (eds.), Handbook of Geometric Topology, Elsevier, 819-898 (2002)
19. [R] Reshetnyak, Yu. G.: Nonexpanding maps in a space of curvature no greater than K. Sibirskii Mat. Zh. 9 (1968), 918-928 (Russian). English translation: Inextensible mappings in a space of curvature no greater than K. Siberian Math. J. 9, 683-689 (1968)