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On the Intrinsic Geometry of Instanton Vacua

From the perspective of D-brane physics, we consider the role of the real intrinsic Riemannian geometry and describe the statistical nature;

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Solitons and Instantons

on classical soliton and instanton solutions. Such solutions are derived for a variety of models and classified by topological indices. The;

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Instanton Counting, Quantum Geometry and Algebra

, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept;

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Differential Geometry: A First Course

discussion on fundamental existence theorem. The theory of surfaces includes the first fundamental form with local intrinsic properties, geodesics on;

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Convex Surfaces

theorems. The first half focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. The second part examines intrinsic geometry;

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A.D. Alexandrov

A.D. Alexandrov is considered by many to be the father of intrinsic geometry. A two-volume set, A.D. Alexandrov Selected Works contains;

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Introduction To Finsler Geometry, An

This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the;

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A.D. Alexandrov: Selected Works Part II

A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems;

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The Joy of Geometry

of logically proving those relationships. This book will awaken readers to the appeal of geometry by placing the focus squarely on geometry's;

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Geometry Of Physics

operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase and instanton winding numbers, quarks and quark;

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The Geometry of Spacetime

of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications;

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Minkowski Geometry

differential geometry in Minkowski spaces. The book ends with a brief look at J. J. Schaffer's ideas on the intrinsic geometry of the unit sphere;

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Non-Euclidean Geometry and Curvature

This is the final volume of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The;

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Strings, Gauge Fields, And The Geometry Behind

researchers in string theory and related fields of mathematics (in particular, algebraic geometry) which discuss recent progress in the exploration;

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Differential Geometry of Curves and Surfaces

surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates;

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Panoramic View Of Riemannian Geometry

This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated;

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Boundary Control and Variation

approach to large and nonlinear variation of the boundary using global Eulerian co-ordinates and intrinsic geometry.;

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Boundary Control and Variation

approach to large and nonlinear variation of the boundary using global Eulerian co-ordinates and intrinsic geometry.;

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Riemannian Geometry

the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The book;

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Riemannian Geometry

the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The book;

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A New Approach to Differential Geometry using Clifford's Geometric Algebra

Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using;

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Sliding-rolling Contact And In-hand Manipulation

explores two surfaces, and the geometry of both surfaces comes into play. Secondly, the book focuses on the geometry of the two surfaces within the;

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Applications of Tensor Analysis

(curvilinear coordinates, covariant differentiation, curves in a space, intrinsic geometry of a surface, fundamental formulae of a surface, curves on a;

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Differential Forms and Applications

intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.;

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Differential Geometry of Curves and Surfaces

, both introductory and advanced New section on the application of differential geometry to cartography Additional investigative project ideas;

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The Theory and Applications of Instanton Calculations

Instantons, or pseudoparticles, are solutions to the equations of motion in classical field theories on a Euclidean spacetime. Instantons;

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The Theory and Applications of Instanton Calculations

Instantons, or pseudoparticles, are solutions to the equations of motion in classical field theories on a Euclidean spacetime. Instantons;

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