Displaying similar documents to “The Laplace spectrum and Hermitian spaces.”

Hermitian Manifolds of Pointwise Constant Antiholomorphic Sectional Curvatures

Ganchev, Georgi, Kassabov, Ognian (2007)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary 53B35, Secondary 53C50. In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional curvatures.

Perturbation theorems for Hermitian elements in Banach algebras

Rajendra Bhatia, Driss Drissi (1999)

Studia Mathematica

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Two well-known theorems for Hermitian elements in C*-algebras are extended to Banach algebras. The first concerns the solution of the equation ax - xb = y, and the second gives sharp bounds for the distance between spectra of a and b when a, b are Hermitian.

Infinitesimal characterization of almost Hermitian homogeneous spaces

Sergio Console, Lorenzo Nicolodi (1999)

Commentationes Mathematicae Universitatis Carolinae

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In this note it is shown that almost Hermitian locally homogeneous manifolds are determined, up to local isometries, by an integer k H , the covariant derivatives of the curvature tensor up to order k H + 2 and the covariant derivatives of the complex structure up to the second order calculated at some point. An example of a Hermitian locally homogeneous manifold which is not locally isometric to any Hermitian globally homogeneous manifold is given.

Pseudo-Bochner curvature tensor on Hermitian manifolds

Koji Matsuo (1999)

Colloquium Mathematicae

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Our main purpose of this paper is to introduce a natural generalization B H of the Bochner curvature tensor on a Hermitian manifold M provided with the Hermitian connection. We will call B H the pseudo-Bochner curvature tensor. Firstly, we introduce a unique tensor P, called the (Hermitian) pseudo-curvature tensor, which has the same symmetries as the Riemannian curvature tensor on a Kähler manifold. By using P, we derive a necessary and sufficient condition for a Hermitian manifold to be...