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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

to establish the existence and regularity of Coulomb frames in their normal bundles, which arise as critical points for a functional of total;

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From Frenet to Cartan

frames as developed by Cartan, at a level suitable for beginning graduate students familiar with the geometry of curves and surfaces in Euclidean;

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Harmonic Maps, Conservation Laws and Moving Frames

applications and illustrations of Coulomb moving frames to the theory of surfaces.;

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Differential Geometry From A Singularity Theory Viewpoint

geometry of surfaces in Euclidean spaces. The book uses singularity theory to capture some key geometric features of surfaces. It describes the;

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Curved Spaces

spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces;

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Curved Spaces

spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces;

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Manifolds And Local Structures

of suitable 'elementary spaces', by means of partial homeomorphisms that fix the gluing conditions and form a sort of 'intrinsic atlas', instead;

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Spin-Polarized Two-Electron Spectroscopy of Surfaces

geometries: (i) normal and off normal electron incidence on a crystal surface, (ii) spin polarization directions within mirror planes of the surface;

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Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds

affine and Euclidean spaces. Tensor analysis is explored first in Euclidean space, starting from a generalization of the concept;

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Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32

the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic;

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A First Course in Differential Geometry

study only the traditional topics: namely, curves and surfaces in a three-dimensional Euclidean space E3. Unlike most classical books on the;

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Minimal Surfaces from a Complex Analytic Viewpoint

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods;

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Minimal Surfaces from a Complex Analytic Viewpoint

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods;

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Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio;

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Minkowski Geometry

spaces and characterisations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed;

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Non-Euclidean Geometry and Curvature

-Euclidean geometries and curvature are essential to the understanding of low-dimensional spaces. This third and final volume aims to give the reader;

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Cambridge Studies in Advanced Mathematics

Now in paperback, the main theme of this book is the study of geometric properties of general sets and measures in euclidean spaces;

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Surfaces in Classical Geometries

curvature immersions, isothermic immersions, and the duality between minimal surfaces in Euclidean space and constant mean curvature surfaces;

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Recent Advances in Differential Geometry

The book narrates the saga of origin of geometry especially non-Euclidean and covers up to few generalizations of non-Euclidean geometry;

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Linear and Quasilinear Parabolic Problems: Volume II: Function Spaces

in the literature. In particular, it develops a unified theory of anisotropic Besov and Bessel potential spaces on Euclidean corners, with;

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Fourier Analysis and Hausdorff Dimension

Now in paperback, the main theme of this book is the study of geometric properties of general sets and measures in euclidean spaces;

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Introduction to Lorentz Geometry

mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean;

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Introduction to Lorentz Geometry

mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean;

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Colored Discrete Spaces

of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by;

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Colored Discrete Spaces

of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by;

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Sliding-rolling Contact And In-hand Manipulation

Robots interact with the world through curves and surfaces - the subjects of study in differential geometry. This book applies the moving;

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Elements of Tensor Calculus

discussions of the most important applications of tensor calculus.Starting with a chapter on vector spaces, Part I explores affine Euclidean;

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