3 papers
math.AP2007
Generalized motion of level sets by functions of their curvatures on Riemannian manifolds
D. Azagra, M. Jimenez-Sevilla, F. Macia
We consider the generalized evolution of compact level sets by functions of their normal vectors and second fundamental forms on a Riemannian manifold M. The level sets of a functi…
math.FA2005
Approximation by smooth functions with no critical points on separable Banach spaces
D. Azagra, M. Jimenez-Sevilla
We characterize the class of separable Banach spaces such that for every continuous function and for every continuous function the…
math.FA2000
Rolle's theorem is either false or trivial in infinite-dimensional Banach spaces
Daniel Azagra, Mar Jimenez-Sevilla
We prove the following new characterization of (Lipschitz) smoothness in Banach spaces. An infinite-dimensional Banach space has a smooth (Lipschitz) bump function…