Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 3, pp. 267-273
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V. A. Dolzhenkov. Extremal problems for surfaces with bounded absolute (total) mean integral curvature in $n$-dimensionai space. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 3, pp. 267-273. http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a3/
@article{JMAG_1996_3_3_a3,
author = {V. A. Dolzhenkov},
title = {Extremal problems for surfaces with bounded absolute (total) mean integral curvature in $n$-dimensionai space},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {267--273},
year = {1996},
volume = {3},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a3/}
}
TY - JOUR
AU - V. A. Dolzhenkov
TI - Extremal problems for surfaces with bounded absolute (total) mean integral curvature in $n$-dimensionai space
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1996
SP - 267
EP - 273
VL - 3
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a3/
LA - ru
ID - JMAG_1996_3_3_a3
ER -
%0 Journal Article
%A V. A. Dolzhenkov
%T Extremal problems for surfaces with bounded absolute (total) mean integral curvature in $n$-dimensionai space
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1996
%P 267-273
%V 3
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a3/
%G ru
%F JMAG_1996_3_3_a3
Some inequalities are proved which relate the absolute mean integral curvature of hypersurface in $n$-dimensional Euclidean space with the volume and diameter of $n$-dimensional body are proved. Lemma of minimality of measure of $(n-1)$-dimenstonal planes set is the focus of attention: hypersphere as the element of set of closed hypersurfaces, bounding the body of fixed volume, has this property.
