The Bochner formula for isometric immersions

DOI10.2140/pjm.2014.272.395zbMath1344.58016OpenAlexW2094893754MaRDI QIDQ2256294

Alessandro Savo

Publication date: 19 February 2015

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2014.272.395

zbMATH Keywords

differential formsisometric immersionsBochner formulavanishing theorems

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (6)

The Bochner formula for Riemannian flows ⋮ Cohomology vanishing theorems for free boundary submanifolds ⋮ Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area ⋮ Optimal lower eigenvalue estimates for Hodge-Laplacian and applications ⋮ The \(p\)-eigenvalue estimates and \(L^q\)\( p\)-harmonic forms on submanifolds of Hadamard manifolds ⋮ Homology vanishing theorems for pinched submanifolds

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