Viterbo's spectral bound conjecture for homogeneous spaces
Abstract
We prove a conjecture of Viterbo about the spectral distance on the space of compact exact Lagrangian submanifolds of a cotangent bundle $T^*M$ in the case where $M$ is a compact homogeneous space: if such a Lagrangian submanifold is contained in the unit ball bundle of $T^*M$, its spectral distance to the zero section is uniformly bounded. This also holds for some immersed Lagrangian submanifolds if we take into account the length of the maximal Reeb chord.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2022
- DOI:
- 10.48550/arXiv.2203.13700
- arXiv:
- arXiv:2203.13700
- Bibcode:
- 2022arXiv220313700G
- Keywords:
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- Mathematics - Symplectic Geometry