Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin.
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 d...
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1989 |
| Year of Publication: | 2016 |
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Guillemin, Victor, author. aut http://id.loc.gov/vocabulary/relators/aut Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / Victor Guillemin. Princeton, NJ : Princeton University Press, [2016] ©1989 1 online resource (240 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 121 Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Cosmology Mathematical models. Geometry, Differential. Lorentz transformations. MATHEMATICS / Geometry / Differential. bisacsh 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. Riemann surface. Riemannian manifold. 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. Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691085142 https://doi.org/10.1515/9781400882410 https://www.degruyter.com/isbn/9781400882410 Cover https://www.degruyter.com/document/cover/isbn/9781400882410/original |
| language |
English |
| format |
eBook |
| author |
Guillemin, Victor, Guillemin, Victor, |
| spellingShingle |
Guillemin, Victor, Guillemin, Victor, Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / Annals of Mathematics Studies ; Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography |
| author_facet |
Guillemin, Victor, Guillemin, Victor, |
| author_variant |
v g vg v g vg |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Guillemin, Victor, |
| title |
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / |
| title_full |
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / Victor Guillemin. |
| title_fullStr |
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / Victor Guillemin. |
| title_full_unstemmed |
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / Victor Guillemin. |
| title_auth |
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / |
| title_alt |
Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography |
| title_new |
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / |
| title_sort |
cosmology in (2 + 1) -dimensions, cyclic models, and deformations of m2,1. (am-121), volume 121 / |
| series |
Annals of Mathematics Studies ; |
| series2 |
Annals of Mathematics Studies ; |
| publisher |
Princeton University Press, |
| publishDate |
2016 |
| physical |
1 online resource (240 p.) Issued also in print. |
| contents |
Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography |
| isbn |
9781400882410 9783110494914 9783110442496 9780691085142 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QB - Astronomy |
| callnumber-label |
QB981 |
| callnumber-sort |
QB 3981 |
| url |
https://doi.org/10.1515/9781400882410 https://www.degruyter.com/isbn/9781400882410 https://www.degruyter.com/document/cover/isbn/9781400882410/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
520 - Astronomy |
| dewey-ones |
523 - Specific celestial bodies & phenomena |
| dewey-full |
523.1/072/4 |
| dewey-sort |
3523.1 272 14 |
| dewey-raw |
523.1/072/4 |
| dewey-search |
523.1/072/4 |
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10.1515/9781400882410 |
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979580918 |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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