Local homeo- and diffeomorphisms: invertibility and convex image
Copyright policy )Local homeo- and diffeomorphisms: invertibility and convex image
We prove a necessary and sufficient condition for a local homeomorphism defined on an open, connected subset of a Euclidean space to be globally one-to-one and, at the same time, for the image to be convex. Among the applications we give a practical sufficiency test for invertibility for twice differentiable local diffeomorphisms defined on a ball.
- University of Padua Italy
- University of Verona Italy
- University of Udine Italy
local diffeomorphisms, Implicit function theorems, Jacobians, transformations with several variables, Local homeomorphims, injectivity, convex image, Equations involving nonlinear operators (general), invertibility, convex image, local homeomorphism, Implicit function theorems; global Newton methods on manifolds
local diffeomorphisms, Implicit function theorems, Jacobians, transformations with several variables, Local homeomorphims, injectivity, convex image, Equations involving nonlinear operators (general), invertibility, convex image, local homeomorphism, Implicit function theorems; global Newton methods on manifolds
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