• 대한수학회보
• /
• 제42권1호
• /
• pp.1-4
• /
• 2005

In this paper, we will prove that in a compact almost Kahlerian manifold $M^n$, any conformal Killing vector field is Killing if n $\ge$ 4.

• 대한수학회지
• /
• 제35권4호
• /
• pp.855-867
• /
• 1998

In the present paper, we introduce the notions of quaternionically planar curves and quaternionically projective transformations to the case of almost quaternionic manifold with symmetric affine connection. Also, we obtain an invariant tensor field under the quaternionically projective transformation, and show that a quaternionic Kahlerian manifold with such a vanishing tensor field is of constant Q-sectional curvature.

• 대한수학회논문집
• /
• 제37권3호
• /
• pp.813-824
• /
• 2022

We study solitons of Kählerian Norden space-time manifolds and Bochner curvature tensor in almost pseudo symmetric Kählerian space-time manifolds. It is shown that the steady, expanding or shrinking solitons depend on different relations of energy density/isotropic pressure, the cosmological constant, and gravitational constant.