Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 223-233
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A. A. Borisenko; D. I. Vlasenko. Asymptotic behavior of volume of convex sets in Adamar manifold. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 223-233. http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a2/
@article{JMAG_1999_6_3_a2,
author = {A. A. Borisenko and D. I. Vlasenko},
title = {Asymptotic behavior of volume of convex sets in {Adamar} manifold},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {223--233},
year = {1999},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a2/}
}
TY - JOUR
AU - A. A. Borisenko
AU - D. I. Vlasenko
TI - Asymptotic behavior of volume of convex sets in Adamar manifold
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1999
SP - 223
EP - 233
VL - 6
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a2/
LA - ru
ID - JMAG_1999_6_3_a2
ER -
%0 Journal Article
%A A. A. Borisenko
%A D. I. Vlasenko
%T Asymptotic behavior of volume of convex sets in Adamar manifold
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1999
%P 223-233
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a2/
%G ru
%F JMAG_1999_6_3_a2
We estimate the limit at infinity of the quotients volume/area for a family of convex with respect to horospheres sets expanding over the whole simply connected complete Riemannian manifold of nonpositive sectional curvature. A similar result is obtained for $\lambda$-convex sets in Hyperbolic space.
