On the Sum of the Hermitian Scalar Curvatures of a Compact Hermitian Manifold.
Andrew Balas (1987)
Mathematische Zeitschrift
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Andrew Balas (1987)
Mathematische Zeitschrift
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Goluzina, E.G. (2005)
Zapiski Nauchnykh Seminarov POMI
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S. Raghavan (1962)
Acta Arithmetica
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Wai Kiu Chan, Lenny Fukshansky (2010)
Acta Arithmetica
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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.
Eva Bayer-Fluckiger, Laura Fainsilber (1996)
Inventiones mathematicae
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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.
Tekcan, A. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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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 , the covariant derivatives of the curvature tensor up to order 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.
Koji Matsuo (1999)
Colloquium Mathematicae
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Our main purpose of this paper is to introduce a natural generalization of the Bochner curvature tensor on a Hermitian manifold provided with the Hermitian connection. We will call 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...
Groß, Jürgen (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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