1,721,110 research outputs found
Codazzi tensors on Sasakian manifolds
We prove that every compact Sasakian manifold of dimension 2n+1 whose horizon- tal sectional curvatures are non-negative and such that 2n is a simple eigenvalue of the Ricci operator admits no non-trivial Codazzi tensors. The same fact is true under suitable pinching assumptions on the φ-sectional curvatures
On homogeneous -Einstein almost cosymplectic manifolds
We prove that every compact, homogeneous η-Einstein almost cosymplectic manifold is a cosymplectic manifold
Non-existence of compact homogeneous -Sasakian manifolds
We show that there exist no compact homogeneous P-Sasakian manifolds whose structure vector field is invariant under the given Lie group action
On locally homogeneous contact metric manifolds with Reeb flow invariant Jacobi operator
We show that a locally homogeneous, regular contact metric manifold, whose characteristic Jacobi operator is invariant under the Reeb flow, is not compact, provided it admits at least one negative -sectional curvature
Su di un caso di depressione con danno organico cerebrale: considerazioni cliniche ed etiopatogenetiche
A note on Riemannian connections with skew torsion and the de Rham splitting
We prove that a Riemannian manifold admitting a metric connection with totally skew-symmetric torsion and reducible holonomy is locally reducible, provided it has nonpositive sectional curvature
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