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math.DG2012

The Taylor Expansion of the Exponential Map and Geometric Applications

M. G. Monera, A. Montesinos-Amilibia, E. Sanabria-Codesal

In this work we consider the Taylor expansion of the exponential map of a submanifold immersed in R^n up to order three, in order to introduce the concepts of lateral and frontal d…