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#### Modern Differential Geometry for Physicists

World Scientific Publishing Company 1989; US$ 27.00These notes are the content of an introductory course on modern, coordinate-free differential geometry which is taken by the first-year theoretical physics PhD students, or by students attending the one-year MSc course “Fundamental Fields and Forces” at Imperial College. The book is concerned entirely with mathematics proper, although... more...

#### Multivariable Calculus and Differential Geometry

De Gruyter 2015; US$ 49.00This text is a modern in-depth study of the subject that includes all the material needed from linear algebra. It then goes on to investigate topics in differential geometry, such as manifolds in Euclidean space, curvature, and the generalization of the fundamental theorem of calculus known as Stokes' theorem. more...

#### Offbeat Integral Geometry on Symmetric Spaces

Springer Basel 2013; US$ 149.00This book surveys the development of integral geometry on domains of homogeneous spaces, covering analysis of multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group. more...

#### PSEUDO-RIEMANNIAN GEOMETRY, DELTA-INVARIANTS AND APPLICATIONS

World Scientific Publishing Company 2011; US$ 131.00The first part of this book provides a self-contained and accessible introduction to the subject in the general setting of pseudo-Riemannian manifolds and their non-degenerate submanifolds, only assuming from the reader some basic knowledge about manifold more...

#### Projective Differential Geometry of Submanifolds

Elsevier Science 1993; US$ 72.95In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis... more...

#### RECENT PROGRESS IN DIFFERENTIAL GEOMETRY AND ITS RELATED FIELDS

World Scientific Publishing Company 2011; US$ 74.00This volume contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications. These contributions from active specialists in differential... more...

#### Radon Transforms and the Rigidity of the Grassmannians (AM-156)

Princeton University Press 2009; US$ 110.00This book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry. Its primary focus is the spectral rigidity problem: Can the metric of a given Riemannian symmetric space of compact type be characterized... more...

#### Recent Trends in Lorentzian Geometry

Springer New York 2012; US$ 199.00Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracted a renewed interest in this theory for many researchers: long-standing global open problems have been solved, outstanding... more...

#### Riemannian Geometry

Cambridge University Press 2006; US$ 56.00This corrected and clarified second edition, first published in 2006, includes a new chapter on the Riemannian geometry of surfaces. more...

#### Riemannian Geometry

De Gruyter 1995; US$ 210.00Riemannian Geometry (Degruyter Studies in Mathematics) more...