A complete differential formalism for stochastic calculus in manifolds
Séminaire de probabilités de Strasbourg, Tome 26 (1992), pp. 189-209. 
@article{SPS_1992__26__189_0,
     author = {Norris, James R.},
     title = {A complete differential formalism for stochastic calculus in manifolds},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     pages = {189--209},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {26},
     year = {1992},
     mrnumber = {1231995},
     zbl = {0791.58111},
     language = {en},
     url = {http://archive.numdam.org/item/SPS_1992__26__189_0/}
}
TY  - JOUR
AU  - Norris, James R.
TI  - A complete differential formalism for stochastic calculus in manifolds
JO  - Séminaire de probabilités de Strasbourg
PY  - 1992
SP  - 189
EP  - 209
VL  - 26
PB  - Springer - Lecture Notes in Mathematics
UR  - http://archive.numdam.org/item/SPS_1992__26__189_0/
LA  - en
ID  - SPS_1992__26__189_0
ER  - 
%0 Journal Article
%A Norris, James R.
%T A complete differential formalism for stochastic calculus in manifolds
%J Séminaire de probabilités de Strasbourg
%D 1992
%P 189-209
%V 26
%I Springer - Lecture Notes in Mathematics
%U http://archive.numdam.org/item/SPS_1992__26__189_0/
%G en
%F SPS_1992__26__189_0
Norris, James R. A complete differential formalism for stochastic calculus in manifolds. Séminaire de probabilités de Strasbourg, Tome 26 (1992), pp. 189-209. http://archive.numdam.org/item/SPS_1992__26__189_0/

[DFN] B.A. Dubrovin, A.T. Fomenko and S.P. Novikov, Modern Geometry - Methods and Applications, Part II, Springer, Berlin, 1985. | MR | Zbl

[El] K.D. Elworthy, Stochastic Differential Equations on Manifolds : London Mathematical Society Lecture Note Series 70, Cambridge University Press, Cambridge, 1982. | MR | Zbl

[EK] K.D. Elworthy and W.S. Kendall, Factorization of Brownian motion and harmonic maps. In From local times to global geometry, control and physics: Pitman Research Notes in Mathematics 150, 75-83, Longman, Harlow, 1986. | MR | Zbl

[Em] M. Emery, Stochastic Calculus in Manifolds, Springer, Berlin, 1989. | MR | Zbl

[L] M. Liao, Factorization of diffusions on fibre bundles, Transactions of the American Mathematical Society 311, 813-827, 1989. | MR | Zbl

[N] J.R. Norris, Path integral formulae for heat kernels and their derivatives, Preprint. | MR

[V] J. Vilms, Totally geodesic maps, Journal of Differential Geometry 4, 73-79, 1970. | MR | Zbl