ESTIMATING THE EIGENVALUES ON QUATERNIONIC KÄHLER MANIFOLDS

DOI10.1142/S0129167X06003643zbMath1096.58011arXivmath/0405384MaRDI QIDQ5484807

Yasushi Homma

Publication date: 21 August 2006

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405384

zbMATH Keywords

quaternionic Kähler manifoldsCasimir elementsBochner-Weitzenböck formulas

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (5)

Twisted Dirac operators and generalized gradients ⋮ On quaternionic complexes over unimodular quaternionic manifolds ⋮ A NOTE ON THE CONFORMAL INVARIANCE OF G-GENERALIZED GRADIENTS ⋮ A RIGIDITY THEOREM FOR QUATERNIONIC KÄHLER STRUCTURES ⋮ The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds

Cites Work

• Quaternionic Kaehler manifolds
• Eigenvalue estimates for the Dirac operator on quaternionic Kähler manifolds
• Stein-Weiss operators and ellipticity
• An upper bound for a Hilbert polynomial on quaternionic Kähler manifolds
• Refined Kato inequalities and conformal weights in Riemannian geometry
• A rigidity theorem for quaternionic Kähler manifolds
• Bochner identities for Kählerian gradients
• Casimir invariants and vector operators in simple and classical Lie algebras
• Vanishing Theorems for Quaternionic Complexes
• FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY
• Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds

This page was built for publication: ESTIMATING THE EIGENVALUES ON QUATERNIONIC KÄHLER MANIFOLDS