# Topology and Geometry in Physics (Lecture Notes in Physics)

Format: Paperback

Language: English

Format: PDF / Kindle / ePub

Size: 10.29 MB

In this book, after the statement of the axioms, the ideas considered are those concerning the association of Projective and Descriptive Geometry by means of ideal points, point to point correspondence, congruence, distance, and metrical geometry. Mainly motivated by the Lorentzian version of a conjecture of Lichnerowicz, we establish the alternative: Either the group acts isometrically for some metric in the conformal class, or the manifold is conformally flat - that is, everywhere locally conformally diffeomorphic to Minkowski space-time.

Pages: 362

Publisher: Springer; Softcover reprint of hardcover 1st ed. 2005 edition (November 19, 2010)

ISBN: 3642062091

Stochastic Differential Geometry at Saint-Flour (Probability at Saint-flour) (Paperback) - Common

Differential Geometry of Singular Spaces and Reduction of Symmetry (New Mathematical Monographs)

Differential Geometry and Topology (Monographs in Contemporary Mathematics)

Geometry of Classical Fields (Dover Books on Mathematics)

An Introduction to Differential Geometry

Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The above examples of this non-uniqueness are all rank $1$ symmetric spaces. However, as we show in this paper, bisectors in the usual $L^2$ metric are such for a unique pair of points in the rank $2$ geometry $\mathbb{H}^2 \times\mathbb{H}^2$. This page lists freely downloadable books , e.g. Complex Differential Geometry (AMS/IP Studies in Advanced Mathematics, 18) read pdf. Near each point p, a hyperplane distribution is determined by a nowhere vanishing 1-form, which is unique up to multiplication by a nowhere vanishing function: A local 1-form on M is a contact form if the restriction of its exterior derivative to H is a non-degenerate two-form and thus induces a symplectic structure on Hp at each point online.

Real and Complex Singularities (Chapman & Hall/CRC Research Notes in Mathematics Series)

Multilinear Functions of Direction and Their Uses in Differential Geometry

Smooth Manifolds

Real and Complex Singularities: São Carlos Workshop 2004 (Trends in Mathematics)

Differential Geometry (Nankai University, Mathematics Series)

Convex Integration Theory: Solutions to the H-Principle in Geometry and Topology (Springer Monographs in Mathematics)

Collected Papers on Ricci Flow (Vol 37)

By Michael Spivak - Comprehensive Introduction to Differential Geometry: 3rd (third) Edition

Current developments in mathematical biology - proceedings of the conference on mathematical biology and dynamical systems (Series on Knots and Everything)

Schwarz-Christoffel Mapping (Cambridge Monographs on Applied and Computational Mathematics)

Visualization and Processing of Tensor Fields (Mathematics and Visualization)

A Comprehensive Introduction to Differential Geometry Volume One

Moment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol. 98)