Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
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Publication:2460696
zbMath1150.53001MaRDI QIDQ2460696
Marco Rigoli, Stefano Pigola, Alberto G. Setti
Publication date: 12 November 2007
Published in: Progress in Mathematics (Search for Journal in Brave)
Schrödinger operatorharmonic functionharmonic mapharmonic formholomorphic mapweak Harnack inequalityvolume comparisongap theoremssplitting theoremspluriharmonic mapPoincare-type inequality\(L^p\) cohomologyHermitian and Kählerian manifoldsBochner-Weitzenböck type formulaeHessian and Laplacian comparisonsLiouville propertiesMoser iteration procedurespectrum of self-adjoint operators
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Nonlinear elliptic equations (35J60) Differential geometric aspects of harmonic maps (53C43) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
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