Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 6, Tome 279 (2001), pp. 187-196
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V. V. Makeev. Equipartition of a mass continuously distributed on a sphere or in space. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 6, Tome 279 (2001), pp. 187-196. http://geodesic.mathdoc.fr/item/ZNSL_2001_279_a11/
@article{ZNSL_2001_279_a11,
author = {V. V. Makeev},
title = {Equipartition of a mass continuously distributed on a sphere or in space},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {187--196},
year = {2001},
volume = {279},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_279_a11/}
}
TY - JOUR
AU - V. V. Makeev
TI - Equipartition of a mass continuously distributed on a sphere or in space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 187
EP - 196
VL - 279
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_279_a11/
LA - ru
ID - ZNSL_2001_279_a11
ER -
%0 Journal Article
%A V. V. Makeev
%T Equipartition of a mass continuously distributed on a sphere or in space
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 187-196
%V 279
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_279_a11/
%G ru
%F ZNSL_2001_279_a11
Masses continuously distributed on a sphere or in a projective or Euclidean space are considered. Several theorems on equipartition of such a mass by a configuration of planes of this or other type are proved by topological means. Unsolved questions are posed.