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arxiv: 1012.5518 · v1 · pith:QAVF6VVYnew · submitted 2010-12-26 · 🧮 math.AP · math.DG

Geodesics in Conical Manifolds

classification 🧮 math.AP math.DG
keywords conicalgeodesicsmanifoldsapproachcalculusdefineddefinitionextend
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The aim of this paper is to extend the definition of geodesics to conical manifolds, defined as submanifolds of $\R^n$ with a finite number of singularities. We look for an approach suitable both for the local geodesic problem and for the calculus of variation in the large

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