The Taylor expansion of the exponential map and geometric applications

In this work we consider the Taylor expansion of the exponential map of a submanifold immersed in Rn up to order three, in order to introduce the concepts of lateral and frontal deviation. We compute the directions of extreme lateral and frontal deviation for surfaces in R3. Also we compute, by usin...

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Bibliographic Details
Authors: Monera, M.G., Montesinos Amilibia, Ángel, Sanabria-Codesal, Esther|||0000-0002-4523-1991
Format: article
Publication Date:2014
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/53919
Online Access:https://riunet.upv.es/handle/10251/53919
Access Level:Open access
Keyword:Exponential map
Surfaces
Extremal directions
Contact
Normal torsion
MATEMATICA APLICADA
Description
Summary:In this work we consider the Taylor expansion of the exponential map of a submanifold immersed in Rn up to order three, in order to introduce the concepts of lateral and frontal deviation. We compute the directions of extreme lateral and frontal deviation for surfaces in R3. Also we compute, by using the Taylor expansion, the directions of high contact with hyperspheres of a surface immersed in R4 and the asymptotic directions of a surface immersed in Rn

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