Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part II, Tome 66 (1976), pp. 103-113
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Yu. D. Burago. Three-dimensional open Riemannian space of nonnegative curvature. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part II, Tome 66 (1976), pp. 103-113. http://geodesic.mathdoc.fr/item/ZNSL_1976_66_a1/
@article{ZNSL_1976_66_a1,
author = {Yu. D. Burago},
title = {Three-dimensional open {Riemannian} space of nonnegative curvature},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {103--113},
year = {1976},
volume = {66},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_66_a1/}
}
TY - JOUR
AU - Yu. D. Burago
TI - Three-dimensional open Riemannian space of nonnegative curvature
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1976
SP - 103
EP - 113
VL - 66
UR - http://geodesic.mathdoc.fr/item/ZNSL_1976_66_a1/
LA - ru
ID - ZNSL_1976_66_a1
ER -
%0 Journal Article
%A Yu. D. Burago
%T Three-dimensional open Riemannian space of nonnegative curvature
%J Zapiski Nauchnykh Seminarov POMI
%D 1976
%P 103-113
%V 66
%U http://geodesic.mathdoc.fr/item/ZNSL_1976_66_a1/
%G ru
%F ZNSL_1976_66_a1
Let $V^3$ be a connected three-dimensional open complete Riemannian manifold with nonnegative sectional curvature. It is proved that if at some point all the sectional curvatures are positive, then $V^3$ is diffeomorphic to a Euclidean space $R^3$.
