Schur's theorem of antiholomorphic type for quasi-Kählerian manifolds

Details Schur's theorem of antiholomorphic type for quasi-Kählerian manifolds Schur's theorem of antiholomorphic type for quasi-Kählerian manifolds

2010-09-14

arxiv.org/abs/1009.2677v1

C. R. Acad. Bulg. Sci., 35, no. 3, 1982, 307-310

Mathematics

Differential Geometry

4 pages, MR 85c:53106

Scientific paper

It is proved, that if a quasi-K\"ahler manifold $M$ of dimension greater or
equal to 6 is of pointwise constant antiholomorphic sectional curvature $\nu$,
then $\nu$, the scalar curvature and the $*$-scalar curvature of $M$ are
constants.

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