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Volumn 88, Issue 1-3, 2000, Pages 83-102

Hamiltonian reduction, the Einstein flow, and collapse of 3-manifolds

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EID: 0034196069     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0920-5632(00)00757-X     Document Type: Article
Times cited : (9)

References (52)
  • 2
    • 0002217693 scopus 로고    scopus 로고
    • Scalar curvature and geometrization conjectures for 3-manifolds
    • Cambridge: Cambridge Univ. Press. MSRI Publ. 30
    • Anderson M. Scalar curvature and geometrization conjectures for 3-manifolds. Comparison geometry. 1997;Cambridge Univ. Press, Cambridge. MSRI Publ. 30.
    • (1997) Comparison geometry
    • Anderson, M.1
  • 12
    • 0000747562 scopus 로고
    • Reducing Einstein's equations to an unconstrained Hamiltonian system on the cotangent bundle of Teichmüller space
    • M. Flato, R. Kerner, & A. Lichnerowicz. Boston: Kluwer
    • Fischer A., Moncrief V. Reducing Einstein's equations to an unconstrained Hamiltonian system on the cotangent bundle of Teichmüller space. Flato M., Kerner R., Lichnerowicz A., Physics on Manifolds, Proc. of the Int. Colloquium in honour of Yvonne Choquet-Bruhat. 1994;111-151 Kluwer, Boston.
    • (1994) Physics on Manifolds, Proc. of the Int. Colloquium in honour of Yvonne Choquet-Bruhat , pp. 111-151
    • Fischer, A.1    Moncrief, V.2
  • 13
    • 0000469343 scopus 로고    scopus 로고
    • The structure of quantum conformal superspace
    • S. Cotsakis, & G. Gibbons. New York: Springer
    • Fischer A., Moncrief V. The structure of quantum conformal superspace. Cotsakis S., Gibbons G., Global Structure and Evolution in General Relativity. 1996;111-173 Springer, New York.
    • (1996) Global Structure and Evolution in General Relativity , pp. 111-173
    • Fischer, A.1    Moncrief, V.2
  • 16
    • 0007227142 scopus 로고    scopus 로고
    • The reduced Hamiltonian of general relativity and the σ-constant of conformal geometry
    • S. Cotsakis, & G.W. Gibbons. NY: Springer. Lecture Notes in Physics
    • Fischer A., Moncrief V. The reduced Hamiltonian of general relativity and the σ-constant of conformal geometry. Cotsakis S., Gibbons G.W., Proc. of the 2nd Samos Meeting on Cosmology, Geometry and Relativity. 1999;Springer, NY. Lecture Notes in Physics.
    • (1999) Proc. of the 2nd Samos Meeting on Cosmology, Geometry and Relativity
    • Fischer, A.1    Moncrief, V.2
  • 20
    • 84951610586 scopus 로고
    • Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
    • Publ. Math. Number
    • Gromov M., Lawson H.B. Jr. Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. IHES. 58:1983;83-196. Publ. Math. Number.
    • (1983) IHES , vol.58 , pp. 83-196
    • Gromov, M.1    Lawson H.B., Jr.2
  • 22
    • 0001825291 scopus 로고
    • Formation of singularities in the Ricci flow
    • Boston: International Press
    • Hamilton R. Formation of singularities in the Ricci flow. Surveys in Differential Geometry. 2:1995;7-136 International Press, Boston.
    • (1995) Surveys in Differential Geometry , vol.2 , pp. 7-136
    • Hamilton, R.1
  • 30
    • 0000014587 scopus 로고
    • Beispiele geschlossener drei- dimensionaler Clifford-Kleinscher Räume negativer Krümmung, Ber. Verhandl. Sächs. Akad. Wiss. Leipzig
    • Löbell F. Beispiele geschlossener drei- dimensionaler Clifford-Kleinscher Räume negativer Krümmung, Ber. Verhandl. Sächs. Akad. Wiss. Leipzig. Math. Phys. Kl. 83:1931;167-174.
    • (1931) Math. Phys. Kl. , vol.83 , pp. 167-174
    • Löbell, F.1
  • 32
    • 0003348894 scopus 로고
    • Seifert Manifolds
    • New York: Springer-Verlag
    • Orlik P. Seifert Manifolds. LNM. 291:1972;Springer-Verlag, New York.
    • (1972) LNM , vol.291
    • Orlik, P.1
  • 34
    • 0003288058 scopus 로고
    • Critical point theory and submanifold geometry
    • New York: Springer-Verlag
    • Palais R., Terng C. Critical point theory and submanifold geometry. LNM. 1353:1988;Springer-Verlag, New York.
    • (1988) LNM , vol.1353
    • Palais, R.1    Terng, C.2
  • 35
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations
    • Providence, Rhode Island: Amer. Math. Soc.
    • Rabinowitz P. Minimax methods in critical point theory with applications to differential equations. CBMS Number 65. 1986;Amer. Math. Soc. Providence, Rhode Island.
    • (1986) CBMS Number 65
    • Rabinowitz, P.1
  • 37
    • 0001107969 scopus 로고
    • Variational theory for the total scalar curvature functional for Riemannian metrics and related topics
    • New York: Springer
    • Schoen R. Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. LNM. 1365:1989;120-154 Springer, New York.
    • (1989) LNM , vol.1365 , pp. 120-154
    • Schoen, R.1
  • 38
    • 0001239209 scopus 로고
    • On the number of constant scalar curvature metrics in a conformal class
    • B. Lawson, & K. Tenenblat. Essex, England: Longman Scientific and Technical
    • Schoen R. On the number of constant scalar curvature metrics in a conformal class. Lawson B., Tenenblat K., Differential Geometry. 1991;Longman Scientific and Technical, Essex, England.
    • (1991) Differential Geometry
    • Schoen, R.1
  • 48
    • 0040987338 scopus 로고    scopus 로고
    • Seoul, Korea: Research Institute of Mathematics, Global Analysis Research Center, Seoul National University
    • Vesnin A. On volumes of some hyperbolic 3-manifolds. 1996;Research Institute of Mathematics, Global Analysis Research Center, Seoul National University, Seoul, Korea.
    • (1996) On volumes of some hyperbolic 3-manifolds
    • Vesnin, A.1
  • 50
    • 0000952164 scopus 로고
    • Eine Klasse von 3-dimensionalen Mannigfaltigkeiten I
    • Waldhausen F. Eine Klasse von 3-dimensionalen Mannigfaltigkeiten I. Inventiones Math. 3:1967;308-333.
    • (1967) Inventiones Math. , vol.3 , pp. 308-333
    • Waldhausen, F.1
  • 51
    • 34250521493 scopus 로고
    • Eine Klasse von 3-dimensionalen Mannigfaltigkeiten II
    • Waldhausen F. Eine Klasse von 3-dimensionalen Mannigfaltigkeiten II. Inventiones Math. 4:1967;87-117.
    • (1967) Inventiones Math. , vol.4 , pp. 87-117
    • Waldhausen, F.1


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