On a Theorem of Chern

DOI10.2307/1996588zbMath0249.53018OpenAlexW4234565307MaRDI QIDQ5663043

J. H. Sampson

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996588

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) (G)-structures (53C10)

Related Items (16)

On the Sampson Laplacian ⋮ Foliations from quadratic and Hermitian differential forms ⋮ The Weitzenböck formula for the divgrad operator ⋮ On symmetric Killing tensors and Codazzi tensors of ranks \(p \geq 2\) ⋮ Boundary conditions for the Sampson Laplacian ⋮ On evolution equations under the Hamilton's Ricci flow ⋮ A five-dimensional Riemannian manifold with an irreducible \(\mathrm{SO}(3)\)-structure as a model of abstract statistical manifold ⋮ Elliptic operators in the bundle of symmetric tensors ⋮ Laplacian spectrum acting on \(r\)-symmetric tensors on hyperbolic space ⋮ Geometry in the large of the kernel of Lichnerowicz Laplacians and its applications ⋮ Density and non-density of \(C_c^\infty\hookrightarrow W^{k,p}\) on complete manifolds with curvature bounds ⋮ Higher order distance-like functions and Sobolev spaces ⋮ An example of Lichnerowicz-type Laplacian ⋮ The Sampson Laplacian on Negatively Pinched Riemannian Manifolds ⋮ On Sinyukov’s Equations in Their Relation to a Curvature Operator of Second Kind ⋮ The spectral theory of the Yano rough Laplacian with some of its applications

Cites Work

• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• Les formes différentielles harmoniques
• On Automorphisms of A Kählerian Structure
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• Curvature in Hermitian metric
• Vector fields and Ricci curvature
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