Curvature vs. Almost Hermitian Structures |
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Authors: | Luis Hernández-lamoneda |
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Affiliation: | (1) Mineral de Valenciana Guanajuato, CIMAT, Callejón Jalisco s.n., 36240 México |
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Abstract: | A Bochner-type formula for almost Hermitian manifolds is introduced. From this formula, one can find obstructions imposed by the curvature to the existence of certain almost Hermitian structures on compact manifolds. |
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Keywords: | almost Hermitian structure curvature symmetric space complex structure symplectic structure. |
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