A COMPREHENSIVE INTRODUCTION TO SUB-RIEMANNIAN GEOMETRY
The lecture notes previously posted on this page have been published as a monograph in the Cambridge Studies in Advanced Mathematics for Cambridge University Press with the title A Comprehensive Introduction to sub-Riemannian geometry (with A. Agrachev and U. Boscain) This book presents material taught by the authors in graduated courses at Trieste (SISSA), Paris (Institut Henri Poincare, Orsay, Paris Diderot), and several summer schools, in the period 2008--2018. It contains material for an introductory course in sub-Remannan geometry at master or PhD level, as well as material for a more advanced course.
Some Reviews:
BibTex:
@book {MR3971262,
AUTHOR = {Agrachev, Andrei and Barilari, Davide and Boscain, Ugo},
TITLE = {A comprehensive introduction to sub-{R}iemannian geometry},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {181},
NOTE = {From the Hamiltonian viewpoint, With an appendix by Igor Zelenko},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {2020},
PAGES = {xviii+745},
ISBN = {978-1-108-47635-5},
MRCLASS = {53C17},
MRNUMBER = {3971262},
MRREVIEWER = {Luca Rizzi},
}
The lecture notes previously posted on this page have been published as a monograph in the Cambridge Studies in Advanced Mathematics for Cambridge University Press with the title A Comprehensive Introduction to sub-Riemannian geometry (with A. Agrachev and U. Boscain) This book presents material taught by the authors in graduated courses at Trieste (SISSA), Paris (Institut Henri Poincare, Orsay, Paris Diderot), and several summer schools, in the period 2008--2018. It contains material for an introductory course in sub-Remannan geometry at master or PhD level, as well as material for a more advanced course.
The first meeting of the three of us with a physical copy of the book. Padova, September 2021.
Draft version Feb 06, 2019 [643 pp.] (download .pdf) (download .djvu)Some Reviews:
- Review by Richard Montgomery for Bullettin of AMS, Vol. 57, No. 4, Oct 2020, pp. 657–677
- Review by Luca Rizzi for Mathematical Reviews (MR)
- Review by Robert Neel for Mathematical Association of America (MAA)
BibTex:
@book {MR3971262,
AUTHOR = {Agrachev, Andrei and Barilari, Davide and Boscain, Ugo},
TITLE = {A comprehensive introduction to sub-{R}iemannian geometry},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {181},
NOTE = {From the Hamiltonian viewpoint, With an appendix by Igor Zelenko},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {2020},
PAGES = {xviii+745},
ISBN = {978-1-108-47635-5},
MRCLASS = {53C17},
MRNUMBER = {3971262},
MRREVIEWER = {Luca Rizzi},
}