Betti and Tachibana numbers of compact Riemannian manifolds

DOI10.1016/J.DIFGEO.2013.04.004zbMath1279.53037OpenAlexW2032888506WikidataQ115356592 ScholiaQ115356592MaRDI QIDQ385746

Josef Mikeš, Sergey E. Stepanov

Publication date: 11 December 2013

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2013.04.004

zbMATH Keywords

Riemannian manifolddifferential formsBetti numberselliptic second-order linear differentialoperators on differential formsTachibana numbers

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (9)

Conformal Killing forms on totally umbilical submanifolds ⋮ Harmonic and conformally Killing forms on complete Riemannian manifold ⋮ Vanishing theorems of conformal Killing forms and their applications to electrodynamics in the general relativity theory ⋮ Invariants for geodesic and F-planar mappings of generalized Riemannian spaces ⋮ Comparative analysis of spectral properties of the Hodge-de Rham and Tachibana operators ⋮ The Sampson Laplacian on Negatively Pinched Riemannian Manifolds ⋮ Eigenvalues of the Tachibana operator which acts on differential forms ⋮ The spectral theory of the Yano rough Laplacian with some of its applications ⋮ Invariant solutions to the conformal Killing-Yano equation on Lie groups

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