an:06377254
Zbl 1318.53012
Banaru, Mihail B.
Special Hermitian manifolds and the 1-cosymplectic hypersurfaces axiom
EN
Bull. Aust. Math. Soc. 90, No. 3, 504-509 (2014).
00338882
2014
j
53B35 53B21
cosymplectic structure; special Hermitian manifold; K??hler manifold
A special Hermitian manifold is a Hermitian manifold whose K??hler form \(F\) satisfies \(\delta F=0\), where \(\delta\) is the codifferentiation operator. The main result of the paper is that if a special Hermitian manifold \(M\) satisfies the 1-cosymplectic hypersurfaces axiom (i.e., every point of \(M\) belongs to some cosymplectic hypersurface of type one), then \(M\) is a K??hler manifold.
Daniel Belti???? (Bucure??ti)