Bicomplex number and tensor product surfaces in $\mathbb{R}^4_2$

• Date: 2012
• Main Authors: Karakus, S. O., Yayli, Y., Каракус, С. О., Яйлі, І.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2578
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We show that a hyperquadric $M$ in $\mathbb{R}^4_2$ is a Lie group by using the bicomplex number product. For our purpose, we change the definition of tensor product. We define a new tensor product by considering the tensor product surface in the hyperquadric $M$. By using this new tensor product,...