Prolongation of Generalized Metallic Structures Related to Weil Bundles

Let (A, l) be a Weil-Frobenius algebra, M a smooth manifold. In this paper, we study the prolongations of generalized metallic structures on manifold M to its Weil bundle TAM and we investigate some of their properties. In particular, we study the prolongation of calibrated generalized product structures and calibrated complex structures induced by metallic structures on M.

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DergiPark (Istanbul University)
Published
2024-10-04
Primary Topic
Homotopy and Cohomology in Algebraic Topology
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article

Prolongation of Generalized Metallic Structures Related to Weil Bundles

G. F. Wankap Nono, Ange Maloko Mavambou, P. M. Kouotchop Wamba, Philippe Foapa Fogue
DergiPark (Istanbul University)
Homotopy and Cohomology in Algebraic Topology
article

Prolongation of Generalized Metallic Structures Related to Weil Bundles

G. F. Wankap Nono, Ange Maloko Mavambou, P. M. Kouotchop Wamba, Philippe Foapa Fogue
article en

Abstract

Let (A, l) be a Weil-Frobenius algebra, M a smooth manifold. In this paper, we study the prolongations of generalized metallic structures on manifold M to its Weil bundle TAM and we investigate some of their properties. In particular, we study the prolongation of calibrated generalized product structures and calibrated complex structures induced by metallic structures on M.

DergiPark (Istanbul University)
Université de Yaoundé I (CM), University of Ngaoundéré (CM), Marien Ngouabi University (CG)
Openalex Percentile: Top 56%
Homotopy and Cohomology in Algebraic Topology
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