Ortacgil, Ercument.

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

512.55 / Or82