• 제목/요약/키워드: U.J.S.

검색결과 1,681건 처리시간 0.048초

ON $\eta$K-CONFORMAL KILLING TENSOR IN COSYMPLECTIC MANIFOLD WITH VANISHING COSYMPLECTIC BOCHNER CURVATURE TENSOR$^*$

  • Jun, Jae-Bok;Kim, Un-Kyu
    • 대한수학회보
    • /
    • 제32권1호
    • /
    • pp.25-34
    • /
    • 1995
  • S. Tachibana [10] has defined a confornal Killing tensor in a n-dimensional Riemannian manifold M by a skew symmetric tensor $u_[ji}$ satisfying the equation $$ \nabla_k u_{ji} + \nabla_j u_{ki} = 2\rho_i g_{kj} - \rho_j g_{ki} - \rho_k g_{ji}, $$ where $g_{ji}$ is the metric tensor of M, $\nabla$ denotes the covariant derivative with respect to $g_{ji}$ and $\rho_i$ is a associated covector field of $u_{ji}$. In here, a covector field means a 1-form.

  • PDF