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The theory of stochastic differential equations in a differentiate manifold has been established by many authors from different view-points, especially by R Lévy 2, F. Perrin 1, A. Kolmogoroff 1 2 and K. Yosida 1 2. It is the purpose of the present paper to discuss it by making use of stochastic integrals.
Kiyosi Itô (Thu,) studied this question.