@article{ASENS_1981_4_14_4_357_0,
author = {Greene, R. E. and Shiohama, K.},
title = {Convex functions on complete noncompact manifolds : differentiable structure},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {357--367},
year = {1981},
publisher = {Elsevier},
volume = {Ser. 4, 14},
number = {4},
doi = {10.24033/asens.1410},
mrnumber = {83m:53057},
zbl = {0488.57012},
language = {en},
url = {https://www.numdam.org/articles/10.24033/asens.1410/}
}
TY - JOUR AU - Greene, R. E. AU - Shiohama, K. TI - Convex functions on complete noncompact manifolds : differentiable structure JO - Annales scientifiques de l'École Normale Supérieure PY - 1981 SP - 357 EP - 367 VL - 14 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.24033/asens.1410/ DO - 10.24033/asens.1410 LA - en ID - ASENS_1981_4_14_4_357_0 ER -
%0 Journal Article %A Greene, R. E. %A Shiohama, K. %T Convex functions on complete noncompact manifolds : differentiable structure %J Annales scientifiques de l'École Normale Supérieure %D 1981 %P 357-367 %V 14 %N 4 %I Elsevier %U https://www.numdam.org/articles/10.24033/asens.1410/ %R 10.24033/asens.1410 %G en %F ASENS_1981_4_14_4_357_0
Greene, R. E.; Shiohama, K. Convex functions on complete noncompact manifolds : differentiable structure. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 14 (1981) no. 4, pp. 357-367. doi: 10.24033/asens.1410
[1] , Riemannische Mannigfaltigketten mit nicht-konstanter konvexer Funktioner (Archiv. der Math., Vol. 31, 1978, pp. 163-170). | Zbl | MR
[2] and , Manifolds of Negative Curvature (Trans. Amer. Math. Soc., Vol. 145, 1969, pp. 1-49). | Zbl | MR
[3] , The Manifold Smoothing Problem (Bull. Amer. Math. Soc., Vol. 67, 1961, pp. 237-238). | Zbl | MR
[4] and , On the Structure of Complete Manifolds of Nonnegative Curvature (Ann. of Math., Vol. 96, 1972, pp. 413-443). | Zbl | MR
[5] and , Convex Functions on Complete Noncompact Riemannian Manifolds : Topological Structure (to appear Inventiones Math). | Zbl
[6] and , On the Subharmonicity and Plurisubharmonicity of Geodesically Convex Functions (Indiana University Math. J., Vol. 22, 1973, pp. 641-653). | Zbl | MR
[7] and , Integrals of Subharmonic Functions on manifolds of Nonnegative Culvature (Inventiiones Math., Vol. 27, 1974, pp. 265-298). | Zbl | MR
[8] and , C∞ Convex Functions and Manifolds of Positive Curvature (Acta Math., Vol. 137, 1976, pp. 209-245). | Zbl | MR
[9] and , C∞ Approximation of Convex, Subharmonic, and Plurisubharmonic Functions (Ann. scient. Ec. Norm. Sup., 4e Série, T. 12, 1979, pp. 47-84). | Zbl | MR | Numdam
[10] and , On Complete Open Manifolds of Positive Curvature (Ann. of Math., Vol. 90, 1969, pp. 75-90). | Zbl | MR
[11] and , A Generalized Sphere Theorem (Ann. of Math., Vol. 106, 1975, pp. 201-211). | Zbl | MR
[12] , On Combinatorial Submanifolds of Differentiable Manifolds (Comment. Math. Helv., Vol. 36, 1962, pp. 103-111). | Zbl | MR | EuDML
[13] and , Foundational Essays on Topological Manifolds, Smoothings and Triangulations (Annals of Mathematics Studies, No. 88, Princeton University Press and University of Tokyo Press, 1977). | Zbl | MR
[14] , Elementary Differential Topology (Annals of Mathematics Studies, No. 54, Princeton University Press 1961, rev. ed. 1966). | Zbl | MR
[15] , Submersions of Open Manifolds Topology, Vol. 6, 1967, pp. 171-206. | Zbl | MR
[16] , Some Results on Nonnegatively Curved Manifolds (J. Diff. Geometry, Vol. 9, 1974, pp. 583-600). | Zbl | MR
[17] , Convex Sets and Convex Functions on Complete Manifolds (Proc. Intern. Cong. of Math., Helsinki, 1978). | Zbl | MR
[18] , A Generalized Allendoerfer-Weil Formula and an Inequality of the Cohn-Vossen Type (J. Diff. Geometry, Vol. 10, 1975, pp. 167-180). | Zbl | MR
[19] , On the Metric Projection Onto Convex Sets in Riemannian Spaces (Archiv. Der. Math., Vol. 25, 1974, pp. 91-98). | Zbl | MR
Cité par Sources :
