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Lightlike submanifolds of indefinite quartenion Kaehler manifolds

Sahin B.

Demonstratio Mathematica

2007

Vol. 40, nr 3

701-720

We define and study both screen QR-lightlike and screen CR-lightlike submanifolds of an indefinite quaternion Kaehler manifold. We show that screen QR-lightlike submanifolds include quaternion submanifolds and screen CR-lightlike submanifolds include quaternion as well as screen real lightlike submanifolds. We also give some examples of screen QR-lightlike and screen CR-lightlike submanifolds.

Quaternionic condition for the existence of 4-dimensional locally conformally flat almost Kahler manifolds

Królikowski W.

Demonstratio Mathematica

2006

Vol. 39, nr 1

195-202

Using the fundamental notions of the quaternionic analysis we show that there are no 4-dimensional almost Kahler manifolds which are locally conformally flat with a metric of a special form.

On pluriharmonic morphisms

Calinov I.

Demonstratio Mathematica

2000

Vol. 33, nr 4

889-899

In this paper we first remind some results regarding pluriharmonic morphisms. We define similar concepts between Kahler or Sasaki manifolds, i.e. maps which pull back local pluriharmonic or phi-pluriharmonic functions to local pluriharmomc or phi-pluriharmonic functions.