From the reviews:
“It provides a reasonably self-contained and very comprehensive account of all aspects of the subject. … The book contains more than 400 references to the literature, as well as a wealth of applications to physics (general relativity). Written by two of the main contributors to the field this comprehensive presentation is certain to be the standard work for the foreseeable future.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 167 (1), July, 2012)There does not exist any other book covering the material presented in this volume. This makes the book a uniquely comprehensive work in the field This is the first book which contains unique existence theorems (with proofs) for the screen distributions of lightlike submanifolds Applications are focused on time-dependent realistic models of black hole horizons, lightlike versions of Osserman geometry, harmonic maps and morphisms, CR and contact structures in physics For readers who wish to do further research, there is an extensive bibliography including many papers and books on the Riemannian geometry of submanifolds Includes supplementary material: sn. pub/extras
