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arXiv · 1604.00835

Second variation for L-minimal Legendrian submanifolds in pseudo-Sasakian manifolds

David Petrecca·Lars Schäfer
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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.

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David Petrecca, Lars Schäfer. 2017-09-13. Second variation for L-minimal Legendrian submanifolds in pseudo-Sasakian manifolds. https://doi.org/10.1007/s00605-017-1090-6

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