An alternative approach to lie groups and geometric structures /
Ercument Ortacgil.
- Oxford : Oxford University Press, 2018
- xii, 211 p.
Fundemental concepts1: Parallelizable manifolds2: The nonlinear curvature3: Local Lie Groups (LLG.s)4: The centralizer5: s-invariance6: The linear curvature7: The structure objectSome Consequences8: The nonlinear Spencer sequence9: Deformations10: The de Rham cohomology of a LLG11: The linear Spencer sequence12: The secondary characteristic classes13: The homogeneous flow14: The Van Est Theorem15: The symmetry groupHow to Generalize16: Klein geometries17: The universal jet groupoids18: Embeddings of Klein geometries into universal jet groupoids19: The de.nition of a prehomogeneous geometry (PHG)20: Curvature and generalized PHG.s
9780198821656 (hbk)
Lie groups Geometry Geometry, Differential Geometrical constructions