• 제목/요약/키워드: Kaehler manifold

검색결과 54건 처리시간 0.026초

SCREEN GENERIC LIGHTLIKE SUBMERSIONS

  • Gaurav Sharma;Sangeet Kumar;Dinesh Kumar Sharma
    • 호남수학학술지
    • /
    • 제45권4호
    • /
    • pp.629-647
    • /
    • 2023
  • We introduce the study of a new class of a lightlike submersion d. Then, we derive a relationship between the holomorphic section 𝜙 : K1 → K' from a screen generic lightlike submanifold of an indefinite Kaehler manifold K2 onto an indefinite almost Hermitian manifold K', and show that for this case K' must be an indefinite Kaehler manifold. Then, we derive a relationship between the holomorphic sectional curvatures of K2 and K'. Finally, we present a classification theorem for a screen generic lightlike submersion, giving the relationship between the sectional curvatures of the total space K2 and the fibers.

YANG-MILLS OR YANG-MILLS-HIGGS FIELDS OVER KAEHLER AND CONTACT MANIFOLDS

  • Park, Young-Soo;Suh, Young-Jin
    • 대한수학회보
    • /
    • 제40권1호
    • /
    • pp.109-122
    • /
    • 2003
  • In this paper we give a characterization of an irreducible connection with harmonic curvature over a connected Kaehler manifold to be self-dual. Also we introduce new notions of $c_{i}-self-dual$ or Kaehler Yang-Mills connections on compact Kaehler manifolds and investigate some fundamental properties of this kind of new connections. Moreover, on a compact odd dimensional Riemannian manifold we give a property of generalized monopole.

LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A NON-METRIC 𝜙-SYMMETRIC CONNECTION

  • Jin, Dae Ho
    • 대한수학회보
    • /
    • 제54권2호
    • /
    • pp.619-632
    • /
    • 2017
  • We define a new connection on semi-Riemannian manifold, which is called a non-metric ${\phi}$-symmetric connection. Semi-symmetric non-metric connection and quarter-symmetric non-metric connection are two impotent examples of this connection. The purpose of this paper is to study the geometry of lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric ${\phi}$-symmetric connection.

TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE

  • Jin, Dae Ho
    • East Asian mathematical journal
    • /
    • 제32권1호
    • /
    • pp.1-11
    • /
    • 2016
  • We study transversal half lightlike submanifolds of an indefinite Kaehler manifold of a quasi-constant curvature. First, we provide a new result for such a transversal half lightlike submanifold. Next, we investigate a statical half lightlike submanifold M such that (1) the screen distribution S(TM) is totally umbilical, or (2) M is screen homothetic.

ON THE ADAPTED CONNECTIONS ON KAEHLER-NORDEN SILVER MANIFOLDS

  • Mohammad, Sameer;Pandey, Pradeep Kumar
    • 호남수학학술지
    • /
    • 제43권4호
    • /
    • pp.701-715
    • /
    • 2021
  • In this paper, we study almost complex Norden Silver manifolds and Kaehler-Norden Silver manifolds. We define adapted connections of first, second and third type to an almost complex Norden Silver manifold and establish the necessary and sufficient conditions for the integrability of almost complex Norden Silver structure. Moreover, we investigate that a complex Norden Silver map is a harmonic map between Kaehler-Norden Silver manifolds.

SOME WARPED PRODUCT SUBMANIFOLDS OF A KENMOTSU MANIFOLD

  • Khan, Viqar Azam;Shuaib, Mohammad
    • 대한수학회보
    • /
    • 제51권3호
    • /
    • pp.863-881
    • /
    • 2014
  • Many differential geometric properties of a submanifold of a Kaehler manifold are conceived via canonical structure tensors T and F on the submanifold. For instance, a CR-submanifold of a Kaehler manifold is a CR-product if and only if T is parallel on the submanifold (c.f. [2]). Warped product submanifolds are generalized version of CR-product submanifolds. Therefore, it is natural to see how the non-triviality of the covariant derivatives of T and F gives rise to warped product submanifolds. In the present article, we have worked out characterizations in terms of T and F under which a contact CR- submanifold of a Kenmotsu manifold reduces to a warped product submanifold.