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Journal for Geometry and Graphics 24 (2020), No. 2, 249--255 Copyright Heldermann Verlag 2020 On CR-Structures and the General Quadratic Structure Mohammad Nazrul Islam Khan Department of Computer Engineering, Qassim University, Buraydah, Saudi Arabia m.nazrul@qu.edu.sa Lovejoy S. Das Department of Mathematics, Kent State University, New Philadelphia, Ohio, U.S.A. ldas@kent.edu The object of the present paper is to determine the relationship between CR-structure and the general quadratic structure and find some basic results. We discuss integrability conditions and prove certain theorems on CR-structure and the general quadratic structure. Keywords: CR-structure, general quadratic structure, almost complex structure, Nijenhuis tensor, integrability. MSC: 53C55 [ Fulltext-pdf (275 KB)] |