Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1

Victor Guillemin (Autor)

Buch | Softcover

240 Seiten

1989
Princeton University Press (Verlag)
978-0-691-08514-2 (ISBN)

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Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book deals with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects).

The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional "Floquet operator," invented by Paneitz and Segal.

*Frontmatter, pg. i*Contents, pg. v*Foreword, pg. 1*Part I. A relativistic approach to Zoll phenomena, pg. 16*Part II. The general theory of Zollfrei deformations, pg. 27*Part III. Zollfrei deformations of M2,1, pg. 53*Part IV. The generalized x-ray transform, pg. 98*Part V. The Floquet theory, pg. 189*Bibliography, pg. 223

Erscheint lt. Verlag	21.3.1989
Reihe/Serie	Annals of Mathematics Studies
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 229 mm
Gewicht	340 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
ISBN-10	0-691-08514-5 / 0691085145
ISBN-13	978-0-691-08514-2 / 9780691085142
Zustand	Neuware