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math.DG2010★ 1 cited
Partially Isometric Immersions and Free Maps
Giuseppina D'Ambra, Roberto De Leo, Andrea Loi
In this paper we investigate the existence of ``partially'' isometric immersions. These are maps f:M->R^q which, for a given Riemannian manifold M, are isometries on some sub-bundl…
math.DG2010
Solvability of the cohomological equation for regular vector fields on the plane
Roberto De Leo
We consider planar vector field without zeroes X and study the image of the associated Lie derivative operator LX acting on the space of smooth functions. We show that the cokernel…