A NOTE ON BICOMPLEX MANIFOLD

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads :

Volume : 21 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2025.2102.7
Author :
Tandra Sarkar (Department of Mathematics, Jadavpur University, 188, Raja S.C. Mallick Road, Kolkata - 700032, West Bengal, INDIA)
Arindam Bhattacharyya (Department of Mathematics, Jadavpur University, 188, Raja S.C. Mallick Road, Kolkata - 700032, West Bengal, INDIA)
Sanjib Kumar Datta (Department of Mathematics, University of Kalyani, Kalyani, Nadia - 741235, West Bengal, INDIA)

Abstract

Bicomplex number can be regarded as a well-known extension of complex number and is of dimension four. In this paper, we define a new notion of manifolds termed as almost bicomplex, bicomplex, bicomplex Hermite manifold and discuss some interesting properties of Nijenhuis tensor, contravariant almost analytic vector fields etc. in this sequel.

Keywords and Phrases

Complex manifold, Bicomplex manifold, almost bicomplex manifold, bicomplex Hermite manifold.

A.M.S. subject classification

32Q57, 53C15.

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