Bicomplex number and tensor product surfaces in R⁴₂

• Published in: Український математичний журнал
• Date: 2012
• Main Authors: Karakuş, S.Ö., Yayli, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164151
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bicomplex number and tensor product surfaces in R⁴₂/ S.Ö. Karakuş, Y. Yayli // Український математичний журнал. — 2012. — Т. 64, № 3. — С. 307-317. — Бібліогр.: 13 назв. — англ.

We show that a hyperquadric M in R⁴₂ 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, we classify totall...