Curvature and the eigenvalues of the Dolbeault complex for Hermitian manifolds

DOI10.1016/0001-8708(76)90116-XzbMath0328.35035MaRDI QIDQ1226674

Peter B. Gilkey

Publication date: 1976

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

Mathematics Subject Classification ID

Heat equation (35K05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Local differential geometry of Hermitian and Kählerian structures (53B35) Differential complexes (58J10) Differential invariants (local theory), geometric objects (53A55)

Related Items (1)

Conformal geometry and global invariants

Cites Work

• Unnamed Item
• The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary
• Local invariants of an embedded Riemannian manifold
• Curvature and the eigenvalues of the Dolbeault complex for Kaehler manifolds
• Clifford modules
• On the heat equation and the index theorem
• Curvature and the eigenvalues of the Laplacian for elliptic complexes
• Spectral Asymmetry and Riemannian Geometry
• Local invariants of a pseudo-Riemannian manifold.

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