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Volumn 47, Issue 4, 2006, Pages 710-713

A short proof of rigidity of convex polytopes

Author keywords

Convex polytope; Dehn theorem; Infinitesimal rigidity

Indexed keywords


EID: 33746483829     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11202-006-0081-y     Document Type: Article
Times cited : (3)

References (14)
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    • Trushkina, V.I.1
  • 2
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    • How to cage an egg
    • Schramm O., "How to cage an egg," Invent. Math., 107, No. 3, 543-560 (1992). Available at http://dz-srvl.sub.unigoettingen.de/cache/toc/ D183703.html.
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    • Schramm, O.1
  • 3
    • 33746573046 scopus 로고
    • Method of 3-coloring of graphs
    • Trushkina V. I., "Method of 3-coloring of graphs," Siberian Math. J., 38, No. 2, 331-342 (1987).
    • (1987) Siberian Math. J. , vol.38 , Issue.2 , pp. 331-342
    • Trushkina, V.I.1
  • 4
    • 0002909309 scopus 로고
    • Rigidity
    • North-Holland, Amsterdam
    • Connelly R., "Rigidity," in: Handbook of Convex Geometry. Vol. A, North-Holland, Amsterdam, 1993, pp. 223-271.
    • (1993) Handbook of Convex Geometry , vol.A , pp. 223-271
    • Connelly, R.1
  • 6
    • 33746552531 scopus 로고
    • Nathan, Cedic, Paris
    • Berger M., Géométrie. Vol. 1-5, Nathan, Cedic, Paris (1977).
    • (1977) Géométrie. , vol.1-5
    • Berger, M.1
  • 7
    • 0002369453 scopus 로고
    • Über die starreit konvexer polyeder
    • Dehn M., "Über die Starreit konvexer Polyeder," Math. Ann., Bd 77, 466-473 (1916). Available at http://dz-srvl.sub.unigoettingen.de/ cache/toc/D37460.html.
    • (1916) Math. Ann. , vol.77 , pp. 466-473
    • Dehn, M.1
  • 9
    • 33746527243 scopus 로고    scopus 로고
    • Inverse function theorems and their applications to the theory of polyhedra
    • to appear
    • Alexandrov V., "Inverse function theorems and their applications to the theory of polyhedra," Rev. Math. Math. Phys. (to appear).
    • Rev. Math. Math. Phys.
    • Alexandrov, V.1
  • 11
    • 27144524195 scopus 로고    scopus 로고
    • Rigidity and polynomial invariants of convex polytopes
    • Fedorchuk M. and Pak I., "Rigidity and polynomial invariants of convex polytopes," Duke Math. J., 129, 371-404 (2005). Available at http://www-math.mit.edu/~pak.
    • (2005) Duke Math. J. , vol.129 , pp. 371-404
    • Fedorchuk, M.1    Pak, I.2
  • 12
    • 0001114105 scopus 로고
    • Almost all simply connected closed surfaces are rigid
    • Springer, Berlin
    • Gluck H., "Almost all simply connected closed surfaces are rigid," in: Lecture Notes in Math., Springer, Berlin, 438, 1975, pp. 225-239.
    • (1975) Lecture Notes in Math. , vol.438 , pp. 225-239
    • Gluck, H.1
  • 13
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    • Rigid and flexible frameworks
    • Roth B., "Rigid and flexible frameworks," Amer. Math. Monthly, 88, No. 1, 6-21 (1981).
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  • 14
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    • Infinitesimally rigid polyhedra. I. Statics of frameworks
    • Whiteley W., "Infinitesimally rigid polyhedra. I. Statics of frameworks," Trans. Amer. Math. Soc., 285, No. 2, 431-465 (1984).
    • (1984) Trans. Amer. Math. Soc. , vol.285 , Issue.2 , pp. 431-465
    • Whiteley, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.