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K-contact A-manifolds

WŁodzimierz Jelonek (1998)

Colloquium Mathematicae

The aim of this paper is to give a characterization of regular K-contact A-manifolds.

Killing tensors and warped product

Włodzimierz Jelonek (2000)

Annales Polonici Mathematici

We present some examples of Killing tensors and give their geometric interpretation. We give new examples of non-compact complete and compact Riemannian manifolds whose Ricci tensor ϱ satisfies the condition ∇ X ϱ ( X , X ) = 2 / ( n + 2 ) X τ g ( X , X )

Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature

Dae Ho Jin, Jae Won Lee (2019)

Communications in Mathematics

We study lightlike hypersurfaces M of an indefinite Kaehler manifold M ¯ of quasi-constant curvature subject to the condition that the characteristic vector field ζ of M ¯ is tangent to M . First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface M of M ¯ such that (1) the screen distribution S ( T M ) is totally umbilical or (2) M is screen conformal.

Locally conformally Kähler metrics on Hopf surfaces

Paul Gauduchon, Liviu Ornea (1998)

Annales de l'institut Fourier

A primary Hopf surface is a compact complex surface with universal cover ℂ 2 - { ( 0 , 0 ) } and cyclic fundamental group generated by the transformation ( u , v ) ↦ ( α u + λ v m , β v ) , m ∈ ℤ , and α , β , λ ∈ ℂ such that ∣ α ∣ ≥ ∣ β ∣ > 1 and ( α - β m ) λ = 0 . Being diffeomorphic with S 3 × S 1 Hopf surfaces cannot admit any Kähler metric. However, it was known that for λ = 0 and ∣ α ∣ = ∣ β ∣ they admit a locally conformally Kähler metric with parallel Lee form. We here provide the construction of a locally conformally Kähler metric with parallel Lee form for all primary Hopf surfaces of class 1 ( λ = 0 ). We also show...

Currently displaying 181 – 200 of 478