A variational problem for surfaces in Laguerre geometry-Reference-Cited by-同舟云学术

A variational problem for surfaces in Laguerre geometry

Published:1996 Issue:11 Volume:348 Page:4321-4337
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Musso Emilio,Nicolodi Lorenzo

Abstract

We consider the variational problem defined by the functional ∫ H 2 − K K d A \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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1996-348-11/S0002-9947-96-01698-4/S0002-9947-96-01698-4.pdf

Reference14 articles.

1. W. Blaschke, Über die Geometrie von Laguerre: I. Grundformeln der Flächentheorie, Abh. Math. Sem. Univ. Hamburg 3 (1924), 176–194.

2. \bysame, Über die Geometrie von Laguerre: II. Flächentheorie in Ebenenkoordinaten, Abh. Math. Sem. Univ. Hamburg 3 (1924), 195–212.

3. \bysame, Über die Geometrie von Laguerre: III. Beiträge zur Flächentheorie, Abh. Math. Sem. Univ. Hamburg 4 (1925), 1–12.

4. \bysame, Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie, B. 3, bearbeitet von G. Thomsen, J. Springer, Berlin, 1929.

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