• 제목/요약/키워드: Kaehlerian manifold.

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Notes on the Second Tangent Bundle over an Anti-biparaKaehlerian Manifold

  • Nour Elhouda Djaa;Aydin Gezer
    • Kyungpook Mathematical Journal
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    • 제63권1호
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    • pp.79-95
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    • 2023

  • In this note, we define a Berger type deformed Sasaki metric as a natural metric on the second tangent bundle of a manifold by means of a biparacomplex structure. First, we obtain the Levi-Civita connection of this metric. Secondly, we get the curvature tensor, sectional curvature, and scalar curvature. Afterwards, we obtain some formulas characterizing the geodesics with respect to the metric on the second tangent bundle. Finally, we present the harmonicity conditions for some maps.

  • https://doi.org/10.5666/KMJ.2022.63.1.79 인용 PDF

CONFORMAL CHANGES OF A RIZZA MANIFOLD WITH A GENERALIZED FINSLER STRUCTURE

  • Park, Hong-Suh;Lee, Il-Yong
    • 대한수학회보
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    • 제40권2호
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    • pp.327-340
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    • 2003

  • We are devoted to dealing with the conformal theory of a Rizza manifold with a generalized Finsler metric $G_{ij}$ (x,y) and a new conformal invariant non-linear connection $M^{i}$ $_{j}$ (x,y) constructed from the generalized Cern's non-linear connection $N^{i}$ $_{j}$ (x,y) and almost complex structure $f^{i}$ $_{j}$ (x). First, we find a conformal invariant connection ( $M_{j}$ $^{i}$ $_{k}$ , $M^{i}$ $_{j}$ , $C_{j}$ $^{i}$ $_{k}$ ) and conformal invariant tensors. Next, the nearly Kaehlerian (G, M)-structures under conformal change in a Rizza manifold are investigate.

  • https://doi.org/10.4134/BKMS.2003.40.2.327 인용 PDF KSCI