An example of a 6-dimensional flat almost Hermitian manifold
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چکیده
منابع مشابه
Conformal transformation in an almost Hermitian manifold
Abstract. In this paper, we have studied a conformal transformation between two almost Hermitian manifolds and shown that the associated Nijenhuis tensor is conformally invariant under this transformation. We have also discussed the properties of contravariant almost analytic vector field, covariant almost analytic vector field and some other properties in almost Hermitian manifold under this t...
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Let J be a unitary almost complex structure on a Riemannian manifold (M, g). If x is a unit tangent vector, let π := Span{x, Jx} be the associated complex line in the tangent bundle of M . The complex Jacobi operator and the complex curvature operators are defined, respectively, by J (π) := J (x) + J (Jx) and R(π) := R(x, Jx). We show that if (M, g) is Hermitian or if (M,g) is nearly Kähler, th...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1978
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-40-1-111-117