GEOMETRIC INSIGHTS INTO NORMAL CR-SUBMANIFOLDS IN QUASI-KÄHLERIAN MANIFOLDS

Authors

  • Dr. Li Wei Jun School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan, P. R. China.
  • Dr. Zhang Min Hao School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan, P. R. China.

DOI:

https://doi.org/10.5281/zenodo.15914034

Keywords:

Differentiable manifolds, Tangle bundle, Algebra of differentiable functions, Differentiable sections, Vector bundle

Abstract

This paper delves into the realm of differentiable manifolds and morphisms, emphasizing their differentiability of class C∞. We introduce fundamental concepts, such as the tangle bundle T(M) and the algebra of differentiable functions F(M) defined on the real n-dimensional connected differentiable manifold M. Furthermore, we explore the module of differentiable sections of a vector bundle H, denoted as Γ(H). This investigation sheds light on the intricate interplay between differentiable structures within the realm of manifold theory.

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Published

2025-07-15