Second variation for L-minimal Legendrian submanifolds in pseudo-Sasakian manifolds
Differential Geometry
2017-09-14 v2
Abstract
In this paper we provide a second variation formula for L-minimal Lagrangian submanifolds in a pseudo-Sasakian manifold. We apply it to the case of Lorentzian-Sasakian manifolds and relate the L-stability of L-minimal Legendrians in a Sasakian M to their L-stability in an associated Lorentzian-Sasakian structure on M.
Keywords
Cite
@article{arxiv.1604.00835,
title = {Second variation for L-minimal Legendrian submanifolds in pseudo-Sasakian manifolds},
author = {David Petrecca and Lars Schäfer},
journal= {arXiv preprint arXiv:1604.00835},
year = {2017}
}
Comments
15 pages; Corrections in the introduction, in Prop 3.3 and 3.7, deleted section 3.3. Final version up to minor aesthetic changes