An upper bound for a Hilbert polynomial on quaternionic Kähler manifolds

DOI10.1007/BF02921870zbMath1057.53035arXivmath/0208079OpenAlexW2023814428MaRDI QIDQ1431379

Uwe Semmelmann, Gregor Weingart

Publication date: 8 June 2004

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208079

zbMATH Keywords

Hilbert polynomialquaternionic Kähler manifoldtwisted Dirac operatordifferential equation of finite type

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor methods in differential geometry (53C28)

Related Items (7)

The spinor and tensor fields with higher spin on spaces of constant curvature ⋮ Tachibana-type theorems and special holonomy ⋮ Positive quaternion Kähler manifolds with fourth Betti number equal to one ⋮ PARTIAL CLASSIFICATION RESULTS FOR POSITIVE QUATERNION KÄHLER MANIFOLDS ⋮ Eigenvalue estimates for 3-Sasaki structures ⋮ The complex geometry of two exceptional flag manifolds ⋮ ESTIMATING THE EIGENVALUES ON QUATERNIONIC KÄHLER MANIFOLDS

Cites Work

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• A result on the \(\widehat A\) and elliptic genera on non-spin manifolds with circle actions
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• Strong rigidity of positive quaternion-Kähler manifolds
• Quaternionic Killing spinors
• Conformal Killing forms on Riemannian manifolds
• Vanishing theorems for quaternionic Kähler manifolds
• Unique continuation in geometry
• FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY

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