Geodesic
Sufficient conditions for convexity in manifolds without focal points
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 443-449 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper, local, global, strongly local and strongly global supportings of subsets in a complete simply connected smooth Riemannian manifold without focal points are defined. Sufficient conditions for convexity of subsets in the same sort of manifolds have been derived in terms of the above mentioned types of supportings.
In this paper, local, global, strongly local and strongly global supportings of subsets in a complete simply connected smooth Riemannian manifold without focal points are defined. Sufficient conditions for convexity of subsets in the same sort of manifolds have been derived in terms of the above mentioned types of supportings.
Classification : 53C20, 53C42
Keywords: supporting of subsets; convex subsets (hypersurfaces); conjugate (focal) points; horospheres 
@article{CMUC_1993_34_3_a6,
     author = {Beltagy, M.},
     title = {Sufficient conditions for convexity in manifolds without focal points},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {443--449},
     year = {1993},
     volume = {34},
     number = {3},
     mrnumber = {1243076},
     zbl = {0797.53034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a6/}
}
TY  - JOUR
AU  - Beltagy, M.
TI  - Sufficient conditions for convexity in manifolds without focal points
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1993
SP  - 443
EP  - 449
VL  - 34
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a6/
LA  - en
ID  - CMUC_1993_34_3_a6
ER  - 
%0 Journal Article
%A Beltagy, M.
%T Sufficient conditions for convexity in manifolds without focal points
%J Commentationes Mathematicae Universitatis Carolinae
%D 1993
%P 443-449
%V 34
%N 3
%U http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a6/
%G en
%F CMUC_1993_34_3_a6
Beltagy, M. Sufficient conditions for convexity in manifolds without focal points. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 443-449. http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a6/