Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings

By W. Bertram. 2005

101 citations recorded by the source corpus.

Introduction Basic notions Interpretation of tangent objects via scalar extensions Second order differential geometry Third and higher order differential geometry Lie theory Diffeomorphism groups and the exponential jet Appendix L. Limitations Appendix G. Generalizations Appendix: Multilinear geometry References.

Subfields: Astronomy and Astrophysics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/88160fd3b40c1dc0d3fdc7a04d6e947f5b9eb67b