On the Differentiability of a Distance Function
Kwang-Soon Park (2008)
Publications de l'Institut Mathématique
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Displaying similar documents to “On the cut locus and the focal locus of a submanifold in a Riemannian manifold. II.”
On the Differentiability of a Distance Function
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Lorentzian geometry in the large has certain similarities and certain fundamental differences from Riemannian geometry in the large. The Morse index theory for timelike geodesics is quite similar to the corresponding theory for Riemannian manifolds. However, results on completeness for Lorentzian manifolds are quite different from the corresponding results for positive definite manifolds. A generalization of global hyperbolicity known as pseudoconvexity is described. It has important...
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Some properties of geodesic semi E-b-vex functions
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In this study, we introduce a new class of function called geodesic semi E-b-vex functions and generalized geodesic semi E-b-vex functions and discuss some of their properties.
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Annales Polonici Mathematici
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