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Volumn 177, Issue 1, 2000, Pages 219-253

Frame Bundle of Riemannian Path Space and Ricci Tensor in Adapted Differential Geometry

Author keywords

Path space; infinite dimensional Riemann geometry; Weitzenbock formula; heat semigroup

Indexed keywords


EID: 0000889771     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2000.3634     Document Type: Article
Times cited : (12)

References (11)
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  • 2
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    • Cruzeiro, A.B.1    Malliavin, P.2
  • 3
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    • Energy identities and estimates for anticipative stochastic integrals on a Riemannian manifold
    • Cruzeiro A. B., Malliavin P. Energy identities and estimates for anticipative stochastic integrals on a Riemannian manifold. Stochast. Anal. Relat. Top. 42:1998;221-234.
    • (1998) Stochast. Anal. Relat. Top. , vol.42 , pp. 221-234
    • Cruzeiro, A.B.1    Malliavin, P.2
  • 4
    • 0037835338 scopus 로고    scopus 로고
    • Construction of diffusions on path spaces and loop spaces of compact riemannian manifolds
    • B. Driver and M. Rockner, Construction of diffusions on path spaces and loop spaces of compact riemannian manifolds, C.R. Acad. Sci. Paris Ser. I3201995, 1249-1254.
    • C.R. Acad. Sci. Paris Ser. I3201995 , pp. 1249-1254
    • Driver, B.1    Rockner, M.2
  • 5
    • 0031568635 scopus 로고    scopus 로고
    • Le processus d'Ornstein-Uhlenbeck sur l'espace des chemins et riemanniens le problème des martingales
    • Kazumi T. Le processus d'Ornstein-Uhlenbeck sur l'espace des chemins et riemanniens le problème des martingales. J. Funct. Anal. 144:1997;20-45.
    • (1997) J. Funct. Anal. , vol.144 , pp. 20-45
    • Kazumi, T.1
  • 6
    • 49549151946 scopus 로고
    • Formules de la moyenne, calcul de pertubations et théorème d'annulation pour les formes harmoniques
    • Malliavin P. Formules de la moyenne, calcul de pertubations et théorème d'annulation pour les formes harmoniques. J. Funct. Anal. 17:1974;274-291.
    • (1974) J. Funct. Anal. , vol.17 , pp. 274-291
    • Malliavin, P.1
  • 7
    • 0003362153 scopus 로고    scopus 로고
    • Stochastic Analysis
    • Berlin/New York: Springer-Verlag. p. 342
    • Malliavin P. Stochastic Analysis. Grundlehren der Mathematik. 313:1997;Springer-Verlag, Berlin/New York. p. 342.
    • (1997) Grundlehren der Mathematik , vol.313
    • Malliavin, P.1
  • 8
    • 58149364016 scopus 로고
    • Twisted sheets
    • Norris J. R. Twisted sheets. J. Funct. Anal. 132:1995;273-334.
    • (1995) J. Funct. Anal. , vol.132 , pp. 273-334
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  • 9
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    • Stochastic calculus with anticipating integrands
    • Nualart D., Pardoux E. Stochastic calculus with anticipating integrands. Prob. Theory Relat. Fields. 78:1988;535-581.
    • (1988) Prob. Theory Relat. Fields , vol.78 , pp. 535-581
    • Nualart, D.1    Pardoux, E.2
  • 10
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    • The de Rham-Hodge-Kodaira decomposition on an abstract Wiener space
    • Shigekawa I. The de Rham-Hodge-Kodaira decomposition on an abstract Wiener space. J. Math. Kyoto Univ. 26:1986;191-202.
    • (1986) J. Math. Kyoto Univ. , vol.26 , pp. 191-202
    • Shigekawa, I.1
  • 11
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    • An Introduction to the Analysis of Paths on a Riemannian Manifold
    • Providence: Amer. Math. Soc. p. 269
    • Stroock D. W. An Introduction to the Analysis of Paths on a Riemannian Manifold. Amer. Math. Soc. Surveys and Monographs. 74:2000;Amer. Math. Soc. Providence. p. 269.
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    • Stroock, D.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.