메뉴 건너뛰기




Volumn 145, Issue 1-3, 2004, Pages 91-118

Algebraic and geometric solutions of hyperbolicity equations

Author keywords

Hyperbolic 3 manifolds; Ideal triangulations; Representations

Indexed keywords


EID: 7544238346     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2004.06.005     Document Type: Article
Times cited : (4)

References (17)
  • 2
    • 4043125767 scopus 로고    scopus 로고
    • Geometrization of 3-orbifolds of cyclic type
    • M. Boileau J. Porti Geometrization of 3-orbifolds of cyclic type Astérisque 272 2001 208
    • (2001) Astérisque , vol.272 , pp. 208
    • Boileau, M.1    Porti, J.2
  • 3
    • 0000595163 scopus 로고
    • Notes on notes of Thurston
    • Analytical and Geometric Aspects of Hyperbolic Space (Coventry/Durham, 1984) Cambridge Univ. Press Cambridge
    • R.D. Canary D.B.A. Epstein P. Green Notes on notes of Thurston in: Analytical and Geometric Aspects of Hyperbolic Space (Coventry/Durham, 1984) in: London Math. Soc. Lecture Note Ser. vol. 111 1987 Cambridge Univ. Press Cambridge 3-92
    • (1987) London Math. Soc. Lecture Note Ser. , vol.111 , pp. 3-92
    • Canary, R.D.1    Epstein, D.B.A.2    Green, P.3
  • 4
    • 84972519545 scopus 로고
    • Euclidean decompositions of noncompact hyperbolic manifolds
    • D.B.A. Epstein R.C. Penner Euclidean decompositions of noncompact hyperbolic manifolds J. Differential Geom. 27 1 1988 67-80
    • (1988) J. Differential Geom. , vol.27 , Issue.1 , pp. 67-80
    • Epstein, D.B.A.1    Penner, R.C.2
  • 5
    • 49049130340 scopus 로고
    • Incompressible surfaces in punctured-torus bundles
    • W. Floyd A. Hatcher Incompressible surfaces in punctured-torus bundles Topology Appl. 13 3 1982 263-282
    • (1982) Topology Appl. , vol.13 , Issue.3 , pp. 263-282
    • Floyd, W.1    Hatcher, A.2
  • 6
    • 33747084739 scopus 로고    scopus 로고
    • Similarity structures on the torus and the Klein bottle via triangulations
    • Preprint Scuola Normale Superiore, Pisa
    • S. Francaviglia, Similarity structures on the torus and the Klein bottle via triangulations, Preprint Scuola Normale Superiore, Pisa, 2002
    • (2002)
    • Francaviglia, S.1
  • 7
    • 0742271462 scopus 로고    scopus 로고
    • Hyperbolic volume of representations of fundamental groups of cusped 3-manifolds
    • S. Francaviglia Hyperbolic volume of representations of fundamental groups of cusped 3-manifolds Internat. Math. Res. Not. 9 2004 425-459
    • (2004) Internat. Math. Res. Not. , Issue.9 , pp. 425-459
    • Francaviglia, S.1
  • 8
    • 7544250189 scopus 로고    scopus 로고
    • Hyperbolicity equations for cusped 3-manifolds and volume-rigidity of representations
    • Ph.D. Thesis, Scuola Normale Superiore, Pisa
    • S. Francaviglia, Hyperbolicity equations for cusped 3-manifolds and volume-rigidity of representations, Ph.D. Thesis, Scuola Normale Superiore, Pisa, 2004
    • (2004)
    • Francaviglia, S.1
  • 9
    • 0003264649 scopus 로고
    • Discrete subgroups of the Lorentz group
    • L. Greenberg Discrete subgroups of the Lorentz group Math. Scand. 10 1962 85-107
    • (1962) Math. Scand. , vol.10 , pp. 85-107
    • Greenberg, L.1
  • 10
    • 0038184930 scopus 로고    scopus 로고
    • Hyperbolic Manifolds and Discrete Groups
    • Boston, MA: Birkhäuser
    • M. Kapovich Hyperbolic Manifolds and Discrete Groups Progr. Math. vol. 183 2001 Birkhäuser Boston, MA
    • (2001) Progr. Math. , vol.183
    • Kapovich, M.1
  • 11
    • 7544227287 scopus 로고    scopus 로고
    • Algorithmic Topology and Classification of 3-manifolds
    • Berlin: Springer
    • V.S. Matveev Algorithmic Topology and Classification of 3-manifolds Algorithms Comput. Math. vol. 9 2003 Springer Berlin
    • (2003) Algorithms Comput. Math. , vol.9
    • Matveev, V.S.1
  • 12
    • 0000459324 scopus 로고
    • Volumes of hyperbolic three-manifolds
    • W.D. Neumann D. Zagier Volumes of hyperbolic three-manifolds Topology 24 3 1985 307-332
    • (1985) Topology , vol.24 , Issue.3 , pp. 307-332
    • Neumann, W.D.1    Zagier, D.2
  • 13
    • 0742299630 scopus 로고    scopus 로고
    • Negatively oriented ideal triangulations and a proof of Thurston's hyperbolic Dehn filling theorem
    • C. Petronio J. Porti Negatively oriented ideal triangulations and a proof of Thurston's hyperbolic Dehn filling theorem Expositiac. Math. 18 1 2000 1-35
    • (2000) Expositiac. Math. , vol.18 , Issue.1 , pp. 1-35
    • Petronio, C.1    Porti, J.2
  • 14
    • 0039608500 scopus 로고    scopus 로고
    • Partially flat ideal triangulations of cusped hyperbolic 3-manifolds
    • C. Petronio J.R. Weeks Partially flat ideal triangulations of cusped hyperbolic 3-manifolds Osaka J. Math. 37 2 2000 453-466
    • (2000) Osaka J. Math. , vol.37 , Issue.2 , pp. 453-466
    • Petronio, C.1    Weeks, J.R.2
  • 15
    • 0003274790 scopus 로고
    • Foundations of Hyperbolic Manifolds
    • New York: Springer
    • J.G. Ratcliffe Foundations of Hyperbolic Manifolds Graduate Texts in Math. vol. 149 1994 Springer New York
    • (1994) Graduate Texts in Math. , vol.149
    • Ratcliffe, J.G.1
  • 16
    • 0002505605 scopus 로고
    • The Geometry and Topology of 3-Manifolds
    • Princeton University Mathematics Department
    • W.P. Thurston The Geometry and Topology of 3-Manifolds Mimeographed Notes 1979 Princeton University Mathematics Department
    • (1979) Mimeographed Notes
    • Thurston, W.P.1
  • 17
    • 0004340192 scopus 로고    scopus 로고
    • SnapPea: A computer program for creating and studying hyperbolic 3-manifold
    • available from www.northnet.org/weeks1
    • J.R. Weeks SnapPea: A computer program for creating and studying hyperbolic 3-manifold available from www.northnet.org/weeks1
    • Weeks, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.