A new strong Laplacian on differential forms.

DOI10.1023/B:MATN.0000043469.63097.C9zbMath1072.58012MaRDI QIDQ556542

Sergey E. Stepanov

Publication date: 21 June 2005

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldcurvatureRicci tensordifferential operatorconnectionformal adjoint operatorrough (strong) Laplacian

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Differential forms in global analysis (58A10)

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Scattered subsets of groups ⋮ Conformal Killing forms on totally umbilical submanifolds ⋮ Harmonic and conformally Killing forms on complete Riemannian manifold ⋮ Conformal Killing \(L^2\)-forms on complete Riemannian manifolds with nonpositive curvature operator ⋮ Betti and Tachibana numbers of compact Riemannian manifolds ⋮ Selective survey on subset combinatorics of groups. ⋮ Note. A conjecture on partitions of groups ⋮ Curvature and Tachibana numbers ⋮ Some conformal and projective scalar invariants of Riemannian manifolds ⋮ SYNDETIC SUBMEASURES AND PARTITIONS OF G-SPACES AND GROUPS ⋮ Unnamed Item ⋮ Comparative analysis of spectral properties of the Hodge-de Rham and Tachibana operators ⋮ Betti and Tachibana numbers ⋮ On Dimensions of Vector Spaces of Conformal Killing Forms ⋮ Eigenvalues of the Tachibana operator which acts on differential forms

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