L^2 harmonics forms on non compact manifolds

Abstract

The source of these notes is a series of lectures given at the CIMPA's summer school "Recent Topics in Geometric Analysis".

References in corpus (5)

• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• L^2 cohomology of hyperkähler quotients
• Index and Spectral Theory for Manifolds with Generalized Fibred Cusps
• The structure of stable minimal hypersurfaces in R^n
• L^2-cohomology of locally symmetric spaces, I

Cited by in corpus (5)

• Stable minimal hypersurfaces in ${\mathbf{R}}^5$
• $L_f^2$ harmonic 1-forms on smooth metric measure spaces with positive ${\lambda }_1({\Delta }_f)$
• Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds
• Harmonic Forms on Manifolds with Non-Negative Bakry-Émery-Ricci Curvature
• Harmonic Forms, Minimal Surfaces and Norms on Cohomology of Hyperbolic $3$-Manifolds