Gliklikh, Yu. E. The curvilinear Itô integral with Riemannian parallel displacement and stochastic equations on manifolds. (English. Russian original) Zbl 0635.60061 Theory Probab. Math. Stat. 35, 31-36 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 31-36 (1986). The author tries to describe the construction of a ‘curvilinear Itô integral along a random process on a Riemannian manifold’. The paper is not very clear. Reviewer: H.Crauel MSC: 60H05 Stochastic integrals 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) 58J65 Diffusion processes and stochastic analysis on manifolds 53C20 Global Riemannian geometry, including pinching 53B05 Linear and affine connections Keywords:Riemannian parallel displacement; Langevin equation on a Riemannian manifold; curvilinear Itô integral along a random process on a Riemannian manifold PDFBibTeX XMLCite \textit{Yu. E. Gliklikh}, Theory Probab. Math. Stat. 35, 31--36 (1987; Zbl 0635.60061); translation from Teor. Veroyatn. Mat. Stat. 35, 31--36 (1986)