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r-critical points and Taylor expansion of the exponential map, for smooth immersions in Rk+n

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r-critical points and Taylor expansion of the exponential map, for smooth immersions in Rk+n

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García Monera, M. (2015). r-critical points and Taylor expansion of the exponential map, for smooth immersions in Rk+n [Tesis doctoral no publicada]. Universitat Politècnica de València. doi:10.4995/Thesis/10251/50935.

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Title: r-critical points and Taylor expansion of the exponential map, for smooth immersions in Rk+n
Author:
Director(s): Sanabria Codesal, Esther
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Read date / Event date:
2015-05-13
Issued date:
Abstract:
[EN] Classically, the study of the contact with hyperplanes and hyperspheres has been realized by using the family of height and distance squared functions. On the first part of the thesis, we analyze the Taylor expansion ...[+]


[ES] En general, el estudio del contacto con hiperplanos e hiperesferas se ha llevado a cabo usando la familia de funciones altura y la función distancia al cuadrado. En la primera parte de la tesis analizamos el desarrollo ...[+]


[CAT] En general, l'estudi del contacte amb hiperplans i hiperesferes s'ha dut a terme utilitzant la família de funcions altura i la funció distància al quadrat. A la primera part de la tesi analitzem el desenvolupament ...[+]
Subjects: Taylor expansion , Gauss map , Exponential map , Asymptotic directions , Strong principal directions , Normal torsion
Copyrigths: Reserva de todos los derechos
DOI: 10.4995/Thesis/10251/50935
Type: Tesis doctoral

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