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Volumn 42, Issue 1, 1991, Pages 183-202

The Riemannian manifold of all Riemannian metrics

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EID: 0001876177     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qmath/42.1.183     Document Type: Article
Times cited : (90)

References (13)
  • 1
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    • Quantum theory of gravity. I. The canonical theory
    • B. S. DeWitt, ‘Quantum theory of gravity. I. The canonical theory’, Phys. Rev. 160 (5) (1967), 1113-1148.
    • (1967) Phys. Rev. , vol.160 , Issue.5 , pp. 1113-1148
    • Dewitt, B.S.1
  • 2
    • 0002984718 scopus 로고
    • The manifold of Riemannian metrics
    • D. Ebin, ‘The manifold of Riemannian metrics’, Proc. Symp. Pure Math. AMS 15 (1970), 11-40.
    • (1970) Proc. Symp. Pure Math. AMS , vol.15 , pp. 11-40
    • Ebin, D.1
  • 3
    • 0000339711 scopus 로고
    • The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group
    • D. S. Freed and D. Groisser, ‘The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group’, Michigan Math. J. 36 (1989), 323-344.
    • (1989) Michigan Math. J. , vol.36 , pp. 323-344
    • Freed, D.S.1    Groisser, D.2
  • 5
    • 84968597914 scopus 로고
    • Steve Halperin and Ray Vanstone, ‘Connections, Curvature, and Cohomology /’, Academic Press
    • Werner Greub, Steve Halperin and Ray Vanstone, ‘Connections, Curvature, and Cohomology /’, Academic Press, New York and London, 1972.
    • (1972) New York and London
    • Greub, W.1
  • 6
    • 0009437044 scopus 로고
    • Natural transformations in differential geometry
    • G. Kainz and P. W. Michor, ‘Natural transformations in differential geometry’, Czechoslovak Math. J. 37 (1987) 584-607.
    • (1987) Czechoslovak Math. J. , vol.37 , pp. 584-607
    • Kainz, G.1    Michor, P.W.2
  • 7
    • 0000770764 scopus 로고
    • A convenient setting for real analytic mappings
    • Andreas Kriegl and Peter W. Michor, ‘A convenient setting for real analytic mappings’, 52 p., to appear, Acta Mathematica (1990).
    • (1990) To Appear, Acta Mathematica , pp. 52
    • Kriegl, A.1    Michor, P.W.2
  • 10
    • 25444519544 scopus 로고
    • Manifolds of smooth mappings IV: Theorem of De Rham
    • P. W. Michor, ‘Manifolds of smooth mappings IV: Theorem of De Rham’, Cahiers Top. Geo. Diff. 24 (1983), 57-86.
    • (1983) Cahiers Top. Geo. Diff. , vol.24 , pp. 57-86
    • Michor, P.W.1
  • 11
    • 0009148016 scopus 로고
    • A convenient setting for differential geometry and global analysis I. II
    • Peter W. Michor, ‘A convenient setting for differential geometry and global analysis I. II’, Cahiers Topol. Geo. Diff. 25 (1984), 63-109, 113-178.
    • (1984) Cahiers Topol. Geo. Diff. , vol.25-63 , pp. 113-178
    • Michor, P.W.1
  • 13
    • 84968657815 scopus 로고
    • Kluwer, Dordrecht
    • K. Bleuler and M. Werner (eds.)’, Kluwer, Dordrecht, 1988, pp. 345-371.
    • (1988) , pp. 345-371
    • Bleuler, K.1    Werner, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.