BIMINIMAL IMMERSIONS

By Eric Loubeau, Stefano Montaldo. Proceedings of the Edinburgh Mathematical Society, 2004

51 citations recorded by the source corpus.

Abstract We study biminimal immersions: that is, immersions which are critical points of the bienergy for normal variations with fixed energy. We give a geometrical description of the Euler–Lagrange equation associated with biminimal immersions for both biminimal curves in a Riemannian manifold, with particular attention given to the case of curves in a space form, and isometric immersions of codimension 1 in a Riemannian manifold, in particular for surfaces of a three-dimensional manifold. We describe two methods of constructing families of biminimal surfaces using both Riemannian and horizontally homothetic submersions.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/ae0a66911bc6011965c28fc843d70b92e2c30f79

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In Applied Mathematics

1. Stefano Montaldo
2. C. Oniciuc
3. A. Ratto
4. Ye-lin Ou
5. A. Balmuş
6. Eric Loubeau

In Computational Mechanics

1. C. Oniciuc
2. A. Ratto
3. Stefano Montaldo

Citations in the corpus

• Proper biconservative immersions into the Euclidean space (2013, methodology): “The decomposition of the bitension field with respect to its normal and tangent components was obtained with contributions of [3,7,23,25,26], and for hypersurfaces, it can be summarized in the following theorem.”