On Parallelizable Spheres in Semi Euclidean Space
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Dosyalar
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SOUTHEAST ASIAN MATHEMATICAL SOC-SEAMS
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In Euclidean space, there exist four theorems which show that S-n sphere is not parallelizable for n not equal 1, 3, 7. While three of them are shown by using Bott theorem, the last one is shown by using Hurwitz-Radon numbers. In this paper, a theorem and the proof of this theorem about parallelization of spheres in semi-Euclidean space is given. It is presented that some spheres are parallelizable with respect to specific number systems.
Açıklama
Anahtar Kelimeler
Split complex number, Split quaternion, Split octonion, Parallellization
Kaynak
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
44
Sayı
3
Künye
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