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arxiv: 1108.5111 · v1 · pith:QG2YWZEUnew · submitted 2011-08-25 · 🧮 math.DG

Schur's Theorem for Almost Hermitian Manifolds

classification 🧮 math.DG
keywords almosthermitianantiholomorphicconstantcurvaturemanifoldsschurtheorem
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The Schur's theorem of antiholomorphic type is proved for arbitrary almost Hermitian manifolds, namely: If a connected almost Hermitian manifold of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature, then this curvature is a global constant.

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