Geodesic
Pseudo-Jacobian and Characterization of Monotone Vector Fields on Riemannian Manifolds
Journal of convex analysis, Tome 24 (2017) no. 1, pp. 149-168
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A notion of pseudo-Jacobian of continuous vector fields on Riemannian manifolds is presented. It is shown that the Clarke generalized Jacobian and Mordukhovich coderivative for locally Lipschitz vector fields are pseudo-Jacobians. Moreover, monotone vector fields are characterized in terms of pseudo-Jacobians.
Classification : 58C20, 49J52, 47H05
Mots-clés : Pseudo-Jacobian, Lipschitz vector fields, Monotone vector fields, Riemannian manifolds 
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     author = {E. Ghahraei and S. Hosseini and M. R. Pouryayevali},
     title = {Pseudo-Jacobian and {Characterization} of {Monotone} {Vector} {Fields} on {Riemannian} {Manifolds}},
     journal = {Journal of convex analysis},
     pages = {149--168},
     year = {2017},
     volume = {24},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a11/}
}
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E. Ghahraei; S. Hosseini; M. R. Pouryayevali. Pseudo-Jacobian and Characterization of Monotone Vector Fields on Riemannian Manifolds. Journal of convex analysis, Tome 24 (2017) no. 1, pp. 149-168. http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a11/