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#### Modern Differential Geometry for Physicists

World Scientific Publishing Company 1989; US$ 111.00These 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...

#### Advances in Differential Geometry and Topology

World Scientific Publishing Company 1990; US$ 129.00The aim of this volume is to offer a set of high quality contributions on recent advances in Differential Geometry and Topology, with some emphasis on their application in physics.A broad range of themes is covered, including convex sets, Kaehler manifolds and moment map, combinatorial Morse theory and 3-manifolds, knot theory and statistical mechanics. more...

#### Differential Geometry, Valencia 2001

World Scientific Publishing Company 2002; US$ 193.00This volume presents the proceedings of a conference on differential geometry held in honour of the 60th birthday of A M Naveira. The meeting brought together distinguished researchers from a variety of areas in Riemannian geometry. The topics include: geometry of the curvature tensor, variational problems for geometric functionals such as Willmore–Chen... more...

#### Geometry and Topology of Submanifolds X

World Scientific Publishing Company 2000; US$ 205.00This collection of papers on the geometry and topology of submanifolds is taken from meetings held in honour of Professor S.S. Chern. Topics covered include: the classification of timelike Bonnet surfaces; parallel pure spinors on pseudo-Riemannian manifolds; harmonic maps; and more. more...

#### Geodesic Convexity in Graphs

Springer New York 2013; US$ 54.99????????Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background,... more...

#### Differential Geometry of Submanifolds and its Related Topics

World Scientific Publishing Company 2013; US$ 166.00This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory. It also contains new results or brief surveys in these areas. This volume provides fundamental knowledge to readers (such... more...

#### Differential Geometry of Curves and Surfaces

CRC Press 2010; US$ 57.95Preface Acknowledgements Plane Curves: Local Properties Parameterizations Position, Velocity, and Acceleration Curvature Osculating Circles, Evolutes, and Involutes Natural Equations Plane Curves: Global Properties Basic Properties Rotation Index Isoperimetric Inequality Curvature, Convexity, and the... more...

#### Differential Geometry of Manifolds

CRC Press 2010; US$ 87.95Analysis of Multivariable Functions Functions from Rn to Rm Continuity, Limits, and Differentiability Differentiation Rules: Functions of Class Cr Inverse and Implicit Function Theorems Coordinates, Frames, and Tensor Notation Curvilinear Coordinates Moving Frames in Physics Moving Frames and Matrix Functions Tensor Notation Differentiable... more...

#### Riemannian Geometry in an Orthogonal Frame

World Scientific Publishing Company 2001; US$ 113.00Foreword by S S Chern. In 1926–27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds. In this course he solved a series of problems in Euclidean and non-Euclidean spaces, as well as a series of variational... more...

#### Differential Geometry and Topology

World Scientific Publishing Company 1993; US$ 146.00This volume contains the courses and lectures given during the workshop on Differential Geometry and Topology held at Alghero, Italy, in June 1992. The main goal of this meeting was to offer an introduction in attractive areas of current research and to discuss some recent important achievements in both the fields. This is reflected in the present... more...