JP Journal of Geometry and Topology

The JP Journal of Geometry and Topology publishes articles in all branches of geometry and topology, with applications to physics. It covers areas such as differential geometry, algebraic topology, and geometric aspects of mathematical physics. Survey articles are also welcome.

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SOME ELEMENTS OF RIEMANN GEOMETRY ON WEIL BUNDLES

Authors

  • Olivier Mabiala Mikanou
  • Ange Maloko Mavambou
  • Apépé Jugendene Nguéngué Louvouandou
  • Basile G. R. Bossoto

Keywords:

connections, tensors, vector fields, Weil bundle

DOI:

https://doi.org/10.17654/0972415X24003

Abstract

For a smooth manifold $M$ and a Weil algebra $A$, we introduce some basic Riemann geometric objects on a Weil bundle $M^A$ and discuss their relationships with those on $M$.

Received: January 5, 2024
Accepted: March 9, 2024

References

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V. Nkou, B. G. R. Bossoto and E. Okassa, New properties of prolongations of Linear connections on Weil bundles, Acta Mathematica Universitatis Comenianae 85(1) (2016), 69-80.

V. Nkou, B. G. R. Bossoto and E. Okassa, New characterizations of vector fields on Weil bundles, Theoretical Mathematics and Applications 5(2) (2015), 1-17.

E. Okassa, Prolongements des champs de vecteurs à des variétés des points proches, C. R. Acad. Sci. Paris 300(6) (1985), 173-176.

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A. Weil, Théorie des points proches sur les variétés différentiables, Colloq. Geom. Diff. (1953), 111-117.

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Published

2024-04-11

Issue

Vol. 30 No. 1 (2024)

Section

Articles

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How to Cite

SOME ELEMENTS OF RIEMANN GEOMETRY ON WEIL BUNDLES. (2024). JP Journal of Geometry and Topology, 30(1), 29-62. https://doi.org/10.17654/0972415X24003

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