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.
Primary Language | English |
---|---|
Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | June 30, 2018 |
Submission Date | March 12, 2018 |
Acceptance Date | April 15, 2018 |
Published in Issue | Year 2018 Volume: 1 Issue: 1 |