Giving up the homogeneity condition of a Lagrange superfunction, we prove that there is a unique horizontal endomorphism $h$ (nonlinear connection) on a supermanifold ${\mathcal{M}},$ such that $h$ is conservative and its torsion vanishes. There are several examples for nonhomogeneous Lagrangians such that this result is not true.
Horizontal endomorphism Riemann-Finsler supermetric Superspray
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2018 |
Gönderilme Tarihi | 12 Mart 2018 |
Kabul Tarihi | 15 Nisan 2018 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 1 Sayı: 1 |