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Formules de la moyenne, calcul de perturbations et théoremes d’annulation pour les formes harmoniques. (French) Zbl 0425.58022


MSC:

58J65 Diffusion processes and stochastic analysis on manifolds
60J60 Diffusion processes
60J57 Multiplicative functionals and Markov processes
58A12 de Rham theory in global analysis
58A14 Hodge theory in global analysis

Citations:

Zbl 0241.60046
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References:

[1] Bochner; Yano, Curvature and Betti Numbers (1953), Princeton University Press: Princeton University Press Princeton, NJ · Zbl 0051.39402
[2] Darling; Siegert, (Proc. Nat. Acad.. Proc. Nat. Acad., Washington (1956)), 525
[3] Eells; Elworthy, Stochastic Developpement, (Warwick Seminar (1970-1971)) · Zbl 0355.60053
[4] J. Eells and P. Malliavin; J. Eells and P. Malliavin
[5] Ito, Stochastic parallel transport, (Internat. Congr. Math.. Internat. Congr. Math., Stockholm (1962))
[6] Kac, M., (Second Symposium of Probability (1952), Univ. California: Univ. California Berkeley, CA)
[7] Malliavin, P., Géométrie Riemannienne stochastique, (Séminaire Jean Leray (1974), Collège de France)
[8] Morrow; Kodaira, Complex Manifolds (1971), New York · Zbl 0325.32001
[9] Nijenhuis, Kon. Nederlandse Aka., 235 (1963)
[10] Pinsky, Trans. Amer. Math. Soc., 167, 89-113 (1972)
[11] de Rham, Variétés Différentiables (1956), Paris · Zbl 0065.32401
[12] Stroock, Comm. Pure Appl. Math., 23, 447-457 (1970)
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