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Title: Rigidity of piecewise convex surfaces of torus type

Abstract

Closed genus-one surfaces pasted from finitely many pieces of convex C{sup 2}-surfaces are considered. Vertices and conical points are allowed. An algorithm for the construction of such surfaces is given. They are proved to be rigid outside at domains with respect to infinitesimal bendings of the first order with continuous bending fields belonging to the class C{sup 2} on each C{sup 2}-smooth piece.

Authors:
;  [1]
  1. Rostov State University, Rostov-on-Don (Russian Federation)
Publication Date:
OSTI Identifier:
21202917
Resource Type:
Journal Article
Journal Name:
Sbornik. Mathematics
Additional Journal Information:
Journal Volume: 191; Journal Issue: 4; Other Information: DOI: 10.1070/SM2000v191n04ABEH000473; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; CONVEX MANIFOLDS; SMOOTH MANIFOLDS; SURFACES; TORI

Citation Formats

Markov, P E, and Shkryl', E V. Rigidity of piecewise convex surfaces of torus type. United States: N. p., 2000. Web. doi:10.1070/SM2000V191N04ABEH000473; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Markov, P E, & Shkryl', E V. Rigidity of piecewise convex surfaces of torus type. United States. doi:10.1070/SM2000V191N04ABEH000473; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Markov, P E, and Shkryl', E V. Sun . "Rigidity of piecewise convex surfaces of torus type". United States. doi:10.1070/SM2000V191N04ABEH000473; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21202917,
title = {Rigidity of piecewise convex surfaces of torus type},
author = {Markov, P E and Shkryl', E V},
abstractNote = {Closed genus-one surfaces pasted from finitely many pieces of convex C{sup 2}-surfaces are considered. Vertices and conical points are allowed. An algorithm for the construction of such surfaces is given. They are proved to be rigid outside at domains with respect to infinitesimal bendings of the first order with continuous bending fields belonging to the class C{sup 2} on each C{sup 2}-smooth piece.},
doi = {10.1070/SM2000V191N04ABEH000473; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
journal = {Sbornik. Mathematics},
issn = {1064-5616},
number = 4,
volume = 191,
place = {United States},
year = {2000},
month = {4}
}