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A variational problem for surfaces in Laguerre geometry
Author(s):
Emilio
Musso;
Lorenzo
Nicolodi
Journal:
Trans. Amer. Math. Soc.
348
(1996),
4321-4337.
MSC (1991):
Primary 58E40, 53A40, 53A05
MathSciNet review:
1370648
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Abstract:
We consider the variational problem defined by the functional  on immersed surfaces in Euclidean space. Using the invariance of the functional under the group of Laguerre transformations, we study the extremal surfaces by the method of moving frames.
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Additional Information:
Emilio
Musso
Affiliation:
Dipartimento di Matematica Pura ed Applicata, Università di L'Aquila, via Vetoio, I-67010 Coppito, L' Aquila, Italy
Email:
musso@axscaq.aquila.infn.it
Lorenzo
Nicolodi
Affiliation:
Dipartimento di Matematica ``G. Castelnuovo", Università di Roma ``La Sapienza", p.le A. Moro 2, I-00185 Roma, Italy
Email:
nicolodi@mat.uniroma1.it
DOI:
10.1090/S0002-9947-96-01698-4
PII:
S 0002-9947(96)01698-4
Keywords:
Laguerre geometry,
$L$-minimal surfaces,
Legendre surfaces
Received by editor(s):
June 16, 1994
Additional Notes:
Partially supported by CNR contract n. 93.00554.CTO1, the GADGET initiative of the EC and MURST 40%.
Copyright of article:
Copyright
1996,
American Mathematical Society
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