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Publication:3203657
zbMath0716.53032MaRDI QIDQ3203657
Ernst A. Ruh, Maung Min-Oo, Philippe Tondeur
Publication date: 1991
Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002208393
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de Rham complexWeitzenböck formulaelliptic operatorvanishing theoremsRiemannian foliationsbasic differential formsBochner technique
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Foliations (differential geometric aspects) (53C12) de Rham cohomology and algebraic geometry (14F40)
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The Bochner formula for Riemannian flows ⋮ Basic Morse-Novikov cohomology for foliations ⋮ A cohomology \((p+1)\) form canonically associated with certain codimension-\(q\) foliations on a Riemannian manifold ⋮ Spectral sequences and taut Riemannian foliations ⋮ Variation formulas for transversally harmonic and biharmonic maps ⋮ Generalized Obata theorem and its applications on foliations ⋮ Transverse conformal Killing forms and a Gallot-Meyer theorem for foliations ⋮ Transversally holomorphic maps between Kähler foliations ⋮ A note on transverse divergence and taut Riemannian foliations ⋮ Deformation of Sasakian metrics ⋮ A characterization of Riemannian flows ⋮ Basic Dolbeault cohomology and Weitzenböck formulas on transversely Kähler foliations ⋮ A vanishing result for the \(\mathrm{Spin}^{c}\) Dirac operator defined along the leaves of a foliation ⋮ The mean curvature of transverse Kähler foliations ⋮ Eigenvalues of the basic Dirac operator on quaternion-Kähler foliations ⋮ The basic component of the mean curvature of Riemannian foliations ⋮ Weitzenböck formulas for Riemannian foliations ⋮ Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations
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