Differential Geometry, Gravity and Particle Physics.
Below there is a (developing) manuscript, containing the notes of the course I'm lecturing.
The aim of this course is to provide a review of differential geometry with non-vanishing torsion, applying these background to generalise the theory of gravitation and analysing the possible effects to particle phenomenology.
MANUSCRIPT changelog
v.15: Correction of MoreKK chapter; New Bibliography style
v.14: Corrected typography whole Chapter KK on S**1
v.13: Corrected typography until Chapter 5.
v.12: More details about Lie derivarite. Added some text about Lie groups and algebras.
v.11: Almost complete "Calculus on Manifolds". Started indexation.
v.10: Additions in the chapter "Calculus on Manifolds"
v.09: Vectors, 1-forms and tensors on manifolds defined.
v.08: Corrected typography on several chapters.
v.07: Added KK reduction of Scalar field on S**1, S**2 and T**2.
v.06: KK reduction finished (with some mistakes).
v.05: The KK calculation has been corrected up to .
v.04: The KK calculation has been corrected up to .
v.03: Digitalisation improved, and more coherence of notation.
v.02: Started adding Kaluza-Klein reduction on 1-sphere, but the digitalisation is not Ok.