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Curvature and the eigenvalues of the Dolbeault complex for Kaehler manifolds

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Publication:1845403
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DOI10.1016/0001-8708(73)90014-5zbMath0285.53044OpenAlexW2077949461MaRDI QIDQ1845403

Peter B. Gilkey

Publication date: 1973

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(73)90014-5


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Holomorphic fiber spaces (32L99)


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Universal curvature identities and Euler-Lagrange formulas for Kähler manifolds, Hodge-elliptic genera and how they govern \(K3\) theories, Dimensional curvature identities in Fedosov geometry, On differential characteristic classes of metrics and connections, Universal curvature identities, Superconnections and index theory, Spectral geometry and the Kaehler condition for complex manifolds, The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary, Curvature and the eigenvalues of the Dolbeault complex for Hermitian manifolds, Geometric realizations of Hermitian curvature models, On the uniqueness of the torsion and curvature operators



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