Harmonic forms dual to geodesic cycles in quotients of SU(p,1)

DOI10.1007/BF01450684zbMath0466.58004MaRDI QIDQ1155290

S. P. Wang, Yue Lin L. Tong

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163597

zbMATH Keywords

harmonic formsaction of Laplaciandifferential forms which are Poincare dual to geodesic cycles in complex hyperbolic manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hodge theory in global analysis (58A14) Complex manifolds (32Q99) Duality theorems for analytic spaces (32C37)

Related Items (5)

On two geometric theta lifts ⋮ Unnamed Item ⋮ Certain Rankin-Selberg integral for unitary groups ⋮ Construction of Cohomology of Discrete Groups ⋮ Period integrals in noncompact quotients of SU(p,1)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Harmonic differentials and closed geodesics on a Riemann surface
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms
• On certain arithmetic automorphic forms for SU(1,q)
• Theta functions defined by geodesic cycles in quotients of SU(p,1)
• Asymptotic distributions associated with the Laplacian for forms
• On construction of holomorphic cusp forms of half integral weight
• On the Doi-Naganuma lifting associated with imaginary quadratic fields
• The Poincaré Dual of a Geodesic Algebraic Curve in a Quotient of the 2-Ball

This page was built for publication: Harmonic forms dual to geodesic cycles in quotients of SU(p,1)