Covariant Cauchy-Riemann operators and higher Laplacians on Kähler manifolds.

DOI10.1515/crll.1996.478.17zbMath0856.58049OpenAlexW26943089MaRDI QIDQ4897093

Miroslav Engliš, Jaak Peetre

Publication date: 24 February 1997

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002213915

zbMATH Keywords

curvatureKähler geometryBerezin transformdifferential operators on manifoldscovariant Cauchy-Riemann operatorscovariant Laplacians

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Kähler manifolds (32Q15) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items (9)

Nearly holomorphic sections on compact Hermitian symmetric spaces ⋮ Trees and tensors on Kähler manifolds ⋮ Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric domains ⋮ Hilbert series of nearly holomorphic sections on generalized flag manifolds ⋮ Toeplitz operators on higher Cauchy-Riemann spaces over the unit ball ⋮ Higher Laplacians on pseudo-Hermitian symmetric spaces ⋮ Hua operators and Poisson transform for bounded symmetric domains ⋮ Higher Laplace-Beltrami operators on bounded symmetric domains ⋮ Invariant differential operators on Hermitian symmetric spaces and their eigenvalues

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