Author: David, F. Crawford
Publisher: Brown Walker Press
Keywords: stable, universe, static, model, cosmology, curvature
Number of Pages: 168
Published: 2006-11-20
List price: $19.95
ISBN-10: 1599424134
ISBN-13: 9781599424132
Author: Werner Ballmann
Publisher: Birkhäuser Basel
Keywords: oberwolfach, seminars, curvature, nonpositive, spaces, lectures
Number of Pages: 120
Published: 2004-02-04
List price: $49.95
ISBN-10: 3764352426
ISBN-13: 9783764352424
Singular spaces with upper curvature bounds and, in particular, spaces of nonpositive curvature, have been of interest in many fields, including geometric (and combinatorial) group theory, topology, dynamical systems and probability theory. In the first two chapters of the book, a concise introduction into these spaces is given, culminating in the Hadamard-Cartan theorem and the discussion of the ideal boundary at infinity for simply connected complete spaces of nonpositive curvature. In the third chapter, qualitative properties of the geodesic flow on geodesically complete spaces of nonpositi
Authors:Detlef Gromoll, Gerard Walschap,
Publisher: Birkhäuser Basel
Keywords: mathematics, progress, curvature, foliations, metric
Number of Pages: 174
Published: 2009-04-07
List price: $59.95
ISBN-10: 3764387149
ISBN-13: 9783764387143
In the past three or four decades, there has been increasing realization that metric foliations play a key role in understanding the structure of Riemannian manifolds, particularly those with positive or nonnegative sectional curvature. In fact, all known such spaces are constructed from only a representative handful by means of metric fibrations or deformations thereof. This text is an attempt to document some of these constructions, many of which have only appeared in journal form. The emphasis here is less on the fibration itself and more on how to use it to either construct or understand
Author: Bang-Yen Chen
Publisher: World Scientific Publishing Company
Keywords: series, mathematics, vol, type, finite, curvature, submanifolds, total
Number of Pages: 352
Published: 1984-07
List price: $32.00
ISBN-10: 9971966034
ISBN-13: 9789971966034
Author: Andreas Juhl
Publisher: Birkhäuser Basel
Keywords: holography, progress, mathematics, curvature, operators, conformally, covariant, differential, families
Number of Pages: 488
Published: 2009-06-26
List price: $119.00
ISBN-10: 376439899X
ISBN-13: 9783764398996
The central object of the book is Q-curvature. This important and subtle scalar Riemannian curvature quantity was introduced by Tom Branson about 15 year ago in connection with variational formulas for determinants of conformally covariant differential operators. The book studies structural properties of Q-curvature from an extrinsic point of view by regarding it as a derived quantity of certain conformally covariant families of differential operators which are associated to hypersurfaces. The new approach is at the cutting edge of central developments in conformal differential geometry in the
Authors:Martin R. Bridson, André Häfliger,
Publisher: Springer
Keywords: der, mathematischen, wissenschaften, grundlehren, curvature, spaces, non, positive, metric
Number of Pages: 643
Published: 1999-10-15
List price: $129.00
ISBN-10: 3540643249
ISBN-13: 9783540643241
Author: Athanase Papadopoulos
Publisher: European Mathematical Society
Keywords: mathematics, theoretical, physics, vol, lectures, irma, spaces, convexity, nonpositive, curvature, metric
Number of Pages: 300
Published: 2004-12-15
List price: $54.00
ISBN-10: 3037190108
ISBN-13: 9783037190104
This book covers metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a convexity condition. Also contained is a systematic introduction to the theory of geodesics as well as a detailed presentation of some facets of convexity theory, which are useful in the study of nonpositive curvature. Concepts and techniques discussed in the volume are illustrated by many examples from classical hyperbolic geometry and from the theory of Teichmüller spaces. It is useful for graduate students and researchers in geometry, topology and a
