Curvature and the eigenvalues of the Laplacian for the Dolbeault complex

DOI10.1016/0001-8708(73)90014-5zbMath0259.53050OpenAlexW2077949461MaRDI QIDQ2559974

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) Heat equation (35K05) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (3)

The local index density of the perturbed de Rham complex ⋮ The Witten deformation of the Dolbeault complex ⋮ The mathematical work of V. K. Patodi

Cites Work

• Unnamed Item
• An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds
• On the heat equation and the index theorem
• Curvature and the eigenvalues of the Laplacian for elliptic complexes
• Integro-Differential Operators on Vector Bundles

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