Critical curves for a Santaló problem in 3-space forms

O.J. Garay; M. Pauley

doi:10.1016/j.jmaa.2012.08.041

Critical curves for a Santaló problem in 3-space forms

O.J. Garay, M. Pauley

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

L. Santaló (1956) studied in [15] the minimization of Frenet first curvature dependent energies for spaces of curves constrained to lie in a surface of the euclidean 3-space. In this paper we analyze an extension of that problem by considering energy functionals, determined by Lagrangians which depend not only on the curvature but also on the torsion, acting on spaces of surface contained clamped curves of real 3-space forms. © 2012 Elsevier Ltd.

Original language	English
Pages (from-to)	80-99
Journal	Journal of Mathematical Analysis and Applications
Volume	398
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2012.08.041
Publication status	Published - 2013

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title = "Critical curves for a Santal{\'o} problem in 3-space forms",

abstract = "L. Santal{\'o} (1956) studied in [15] the minimization of Frenet first curvature dependent energies for spaces of curves constrained to lie in a surface of the euclidean 3-space. In this paper we analyze an extension of that problem by considering energy functionals, determined by Lagrangians which depend not only on the curvature but also on the torsion, acting on spaces of surface contained clamped curves of real 3-space forms. {\textcopyright} 2012 Elsevier Ltd.",

author = "O.J. Garay and M. Pauley",

year = "2013",

doi = "10.1016/j.jmaa.2012.08.041",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - Critical curves for a Santaló problem in 3-space forms

AU - Garay, O.J.

AU - Pauley, M.

PY - 2013

Y1 - 2013

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AB - L. Santaló (1956) studied in [15] the minimization of Frenet first curvature dependent energies for spaces of curves constrained to lie in a surface of the euclidean 3-space. In this paper we analyze an extension of that problem by considering energy functionals, determined by Lagrangians which depend not only on the curvature but also on the torsion, acting on spaces of surface contained clamped curves of real 3-space forms. © 2012 Elsevier Ltd.

U2 - 10.1016/j.jmaa.2012.08.041

DO - 10.1016/j.jmaa.2012.08.041

M3 - Article

VL - 398

SP - 80

EP - 99

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -