A variational problem for surfaces in Laguerre geometry
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- by Emilio Musso and Lorenzo Nicolodi PDF
- Trans. Amer. Math. Soc. 348 (1996), 4321-4337 Request permission
Abstract:
We consider the variational problem defined by the functional $\int {\frac {{H^{2}-K}}{{K}}}dA$ 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.References
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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
- 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 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 348 (1996), 4321-4337
- MSC (1991): Primary 58E40, 53A40, 53A05
- DOI: https://doi.org/10.1090/S0002-9947-96-01698-4
- MathSciNet review: 1370648