• Title/Summary/Keyword: C-Bochner curvature tensor

Search Result 10, Processing Time 0.022 seconds

Sasakian manifolds with cyclic-parallel ricci tensor

  • Lee, Sung-Baik;Kim, Nam-Gil;Han, Seung-Gook;Ahn, Seong-Soo
    • Bulletin of the Korean Mathematical Society
    • /
    • v.33 no.2
    • /
    • pp.243-251
    • /
    • 1996
  • In a Sasakian manifold, a C-Bochner curvature tensor is constructed from the Bochner curvature tensor in a Kaehlefian manifold by the fibering of Boothby-wang[2]. Many subjects for vanishing C-Bocher curvature tensor with constant scalar curvature were studied in [3], [6], [7], [9], [10], [11] and so on.

  • PDF

ON C-BOCHNER CURVATURE TENSOR OF A CONTACT METRIC MANIFOLD

  • KIM, JEONG-SIK;TRIPATHI MUKUT MANI;CHOI, JAE-DONG
    • Bulletin of the Korean Mathematical Society
    • /
    • v.42 no.4
    • /
    • pp.713-724
    • /
    • 2005
  • We prove that a (k, $\mu$)-manifold with vanishing E­Bochner curvature tensor is a Sasakian manifold. Several interesting corollaries of this result are drawn. Non-Sasakian (k, $\mu$)­manifolds with C-Bochner curvature tensor B satisfying B $(\xi,\;X)\;\cdot$ S = 0, where S is the Ricci tensor, are classified. N(K)-contact metric manifolds $M^{2n+1}$, satisfying B $(\xi,\;X)\;\cdot$ R = 0 or B $(\xi,\;X)\;\cdot$ B = 0 are classified and studied.

SOLITONS OF KÄHLERIAN NORDEN SPACE-TIME MANIFOLDS

  • Mundalamane, Praveena Manjappa;Shanthappa, Bagewadi Channabasappa;Siddesha, Mallannara Siddalingappa
    • Communications of the Korean Mathematical Society
    • /
    • v.37 no.3
    • /
    • 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.