Natural connections given by general linear and classical connections
Josef Janyška
Abstract
We assume a vector bundle p: E M with a general linear connection K and a classical linear connection on M. We prove that all classical linear connections on the total space E naturally given by (, K) form a 15-parameter family. Further we prove that all connections on J1 E naturally given by (, K) form a 14-parameter family. Both families of connections are described geometrically.
Create a lesson
Related papers
A note on the BRST-BV Formalism Explanation of Deformation Quantization and Algebraic Index Theorem
Lihao Zhao
Biharmonic submanifolds in nonpositive space forms
Yu Fu, Min-chun Hong, Dan Yang
Conjugate radius and parabolicity along the Ricci flow
Chandan Kumar Mondal
Pure Spinor Factorization of Belinski-Zakharov Solitons and Regular Gravitational Instantons
Steffen Aksteiner
Flexibility of Laplace-Beltrami eigenfunctions under metric variation
Andrei Agrachev, Nicola Da Ponte, Antonio Lerario et al.
C1-rigidity of Hp,q-convex cocompact representations of Gromov hyperbolic groups
Nikolay Bogachev