UNBOUNDEDNESS OF THE FIRST EIGENVALUE OF THE LAPLACIAN IN THE SYMPLECTIC CATEGORY

DOI10.1142/S1793525313500040zbMath1263.53030arXiv1207.3829MaRDI QIDQ4916965

Lev Buhovsky

Publication date: 26 April 2013

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3829

zbMATH Keywords

Riemannian metricfirst eigenvalueLaplaciansymplectic manifoldquasi-Kähler structure

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Estimates of eigenvalues in context of PDEs (35P15) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Hypoelliptic differential operators and nilpotent groups
• Spectral flexibility of symplectic manifolds \(T^{2} \times M\)
• Hypoelliptic second order differential equations
• Symplectic aspects of the first eigenvalue

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