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

Victor Guillemin (Autor)

eBook Download: PDF

2016
Princeton University Press (Verlag)
978-1-4008-8241-0 (ISBN)

Infos

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 "e;Floquet operator,"e; invented by Paneitz and Segal.

Produkt-Details

• Erscheint lt. Verlag: 2.3.2016
• Reihe/Serie: Annals of Mathematics Studies
• Reihe/Serie: Annals of Mathematics Studies
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
• Schlagworte: automorphism • bijection • C0 • canonical form • Canonical transformation • Cauchy distribution • Causal structure • Cayley transform • Codimension • cohomology • Cokernel • Compactification (mathematics) • Complexification (Lie group) • Computation • Conformal geometry • conformal map • Conformal Symmetry • Connected sum • Contact Geometry • Corank • covariant derivative • Covering space • deformation theory • Diagram (category theory) • diffeomorphism • differentiable manifold • Differential operator • Dimension (vector space) • Einstein Field Equations • Equation • Euler characteristic • existential quantification • fiber bundle • fibration • Floquet theory • four-dimensional space • Fourier Integral Operator • Fourier transform • fundamental group • geodesic • Hamilton–Jacobi equation • hilbert space • holomorphic function • Holomorphic vector bundle • hyperfunction • hypersurface • Integral curve • Integral Geometry • integral transform • Intersection (set theory) • Invertible matrix • K-finite • Lagrangian (field theory) • Lie algebra • light cone • Linear map • manifold • Maxima and minima • Minkowski space • Module (mathematics) • Notation • One-parameter group • Parametrix • parametrization • principal bundle • Product metric • pseudo-differential operator • Quadratic equation • quadratic form • Quadric • Radon Transform • Riemannian manifold • Riemann surface • Seifert fiber space • Sheaf (mathematics) • Siegel domain • Simply connected space • submanifold • Submersion (mathematics) • Support (mathematics) • Surjective function • Symplectic Manifold • symplectic vector space • Symplectomorphism • Tangent Space • Tautology (logic) • tensor product • Theorem • Topological space • Topology • two-dimensional space • Unit vector • Universal enveloping algebra • Variable (mathematics) • vector bundle • Vector field • Vector Space • Verma module • Volume form • X-ray transform
• ISBN-10: 1-4008-8241-9 / 1400882419
• ISBN-13: 978-1-4008-8241-0 / 9781400882410