拟Kähler流形的反全纯型Schur定理
Schur's theorem of antiholomorphic type for quasi-Kählerian manifolds
摘要:
证明了:若维数大于或等于6的拟Kähler流形$M$具有逐点常反全纯截面曲率$ν$,则$ν$、$M$的数量曲率和$*$ -数量曲率都是常数.
英文摘要:
It is proved, that if a quasi-Kähler manifold $M$ of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature $ν$, then $ν$, the scalar curvature and the $*$-scalar curvature of $M$ are constants.
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