Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 23 (1997), pp. 7-21
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A. V. Boyarshinova. On the space of essential infinitesimal deformations of a manifold over the algebra of $k$-plural numbers. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 23 (1997), pp. 7-21. http://geodesic.mathdoc.fr/item/KUTGS_1997_23_a1/
@article{KUTGS_1997_23_a1,
author = {A. V. Boyarshinova},
title = {On the space of essential infinitesimal deformations of a manifold over the algebra of $k$-plural numbers},
journal = {Trudy Geometricheskogo Seminara},
pages = {7--21},
year = {1997},
volume = {23},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/KUTGS_1997_23_a1/}
}
TY - JOUR
AU - A. V. Boyarshinova
TI - On the space of essential infinitesimal deformations of a manifold over the algebra of $k$-plural numbers
JO - Trudy Geometricheskogo Seminara
PY - 1997
SP - 7
EP - 21
VL - 23
UR - http://geodesic.mathdoc.fr/item/KUTGS_1997_23_a1/
LA - ru
ID - KUTGS_1997_23_a1
ER -
%0 Journal Article
%A A. V. Boyarshinova
%T On the space of essential infinitesimal deformations of a manifold over the algebra of $k$-plural numbers
%J Trudy Geometricheskogo Seminara
%D 1997
%P 7-21
%V 23
%U http://geodesic.mathdoc.fr/item/KUTGS_1997_23_a1/
%G ru
%F KUTGS_1997_23_a1
We demonstrate that the space of essential infinitesimal deformations of the structure of manifold over algebra of $k$-plural numbers is isomorphic to the first cohomology gioup of manifold with coefficients in the sheaf of holomorphic vector fields.