Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 251-271
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O. R. Musin. Curvature extrema and four-vertex-theorems for polygons and polyhedra. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 251-271. http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a18/
@article{ZNSL_2001_280_a18,
author = {O. R. Musin},
title = {Curvature extrema and four-vertex-theorems for polygons and polyhedra},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {251--271},
year = {2001},
volume = {280},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a18/}
}
TY - JOUR
AU - O. R. Musin
TI - Curvature extrema and four-vertex-theorems for polygons and polyhedra
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 251
EP - 271
VL - 280
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a18/
LA - ru
ID - ZNSL_2001_280_a18
ER -
%0 Journal Article
%A O. R. Musin
%T Curvature extrema and four-vertex-theorems for polygons and polyhedra
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 251-271
%V 280
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a18/
%G ru
%F ZNSL_2001_280_a18
Discrete analogs of curvature etrema and generalizations of the four-vertex theorem to the case of polygons and polyhedra are suggested and developed. Several interrelated approaches are considered. One of the main results says that a regular triangulation of a $d$-ball containing $\ge d$ simplices has at least $d$ “ears”.
