Klein geometries, parabolic geometries and differential equations of finite type
Journal of Lie Theory, cilt.18, sa.1, ss.67-82, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 1
- Basım Tarihi: 2008
- Dergi Adı: Journal of Lie Theory
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.67-82
- Anahtar Kelimeler: Homogeneous space, Jet
- Boğaziçi Üniversitesi Adresli: Evet
Özet
We define the infinitesimal and geometric orders of an effective Klein geometry G/H. Using these concepts, we prove (i) For any integer m ≥ 2, there exists an effective Klein geometry G/H of infinitesimal order m such that G/H is a projective variety. (ii) An effective Klein geometry G/H of geometric order M defines a differential equation of order M + 1 on G/H whose global solution space is G. © 2008 Heldermann Verlag.