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Differential Geometry

Geometry -> Differential GeometrySearch on Amazon


Clifford and Riemann-Finsler Structures in Geometric Mechanics a
Author: S. Vacaru, P. Stavrinos, E. Gaburov, D. Gonta  Language:
The book contains a collection of works on Riemann-Cartan and metric-affine manifolds provided with nonlinear connection structure and on generalized Finsler-Lagrange and Cartan-Hamilton geometries an . . . . .
Natural operations in differential geometry
Author: Ivan Kolar, Jan Slovak, Peter W. Michor  Language:
The aim of this book is threefold:First it should be a monographical work on natural bundles and natural operators in differential geometry. This is a field which every differential geometer has met s . . . . .
Topics in Differential Geometry
Author: Peter W. Michor  Language:
Contents: Manifolds and Vector Fields; Lie Groups; Differential Forms and De Rham Cohomology; Riemannian Geometry; Bundles and Connections; Symplectic Geometry and Hamiltonian Mechanics.
Introduction to Tensor Calculus and Continuum Mechanics
Author: John H. Heinbockel  Language:
Introduction to Tensor Calculus and Continuum Mechanics Introduction to Tensor Calculus and Continuum Mechanics is an advanced College level mathematics text. The first part of the text introduces basic concepts, notations and operations associated with th . . . . .
Invariance Theory, The Heat Equation, The ATIYAH-SINGER Theo
Author: Peter B. Gilkey  Language:
Contents: Pseudo-Differential Operators; Characteristic Classes; The Index Theorem; Generalized Index Theorems and Special Topics.
Projective di erential geometry old and new: from Schwarzian derivative to cohomology of di eomorphism groups
Author: V. Ovsienko and S. Tabachnikov  Language:
This book is not an exhaustive introduction to projective di erential geometry or a survey of its recent developments. It is addressed to the reader who wishes to cover a greater distance in a short . . . . .
Geometric Wave Equations
Author: Stefan Waldmann  Language:
In these lecture notes we discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness pro . . . . .
Riemannian Submanifolds: A Survey
Author: Bang-Yen Chen  Language:
Submanifold theory is a very active vast research field which plays an important role in the development of modern differential geometry. This branch of differential geometry is still so far from . . . . .
Notes on di erential geometry
Author: Matt Visser  Language:
In this course I will present an overview of diff erential geometry, also known as the theory of manifolds, (sometimes loosely known as non-Euclidean geometry or Riemannian geometry, but that is actu . . . . .
Synthetic Differential Geometry
Author: Anders Kock  Language:
Contents: The synthetic theory; Categorical logic; Models.
Lectures on Differential Geometry
Author: Wulf Rossmann  Language:
Lectures on Differential Geometry Contents:Chapter 1. Manifolds 1.1 Review of calculus 1.2 Manifolds:definitions and examples 1.3 Vectors and differentials 1.4 Submanifolds 1.5 Riemann metrics Chapter 2. Tensor Calcu . . . . .
Notes on Differential Geometry
Author: Hicks  Language:
Contents: Manifolds; hypersurfaces of Rn; surfaces in R3; Tensors and forms; connexions; rienmann manifolds and submanifolds; operators on forms and integration; gauss-bonnet theory of rigidity; exist . . . . .
Riemannian manifolds with geometric structures
Author: Alexander A. Ermolitsky  Language:
Some geometric structures with associated Riemannian metrics have been considered in the book.
Projective and Polar Spaces
Author: Peter J. Cameron  Language:
Projective and Polar Spaces Contents: 1. Projective spaces; 2. Projective planes; 3. Coordinatisation of projective spaces; 4. Various topics; 5. Buekenhout geometries; 6. Polar spaces; 7. Axioms for polar spaces; 8. The Klein . . . . .
Riemann Surfaces, Dynamics and Geometry
Author: C. McMullen  Language:
Riemann Surfaces, Dynamics and Geometry Contents: Introduction; Geometric function theory; Teichm¨uller theory; Teichm¨uller theory; Teichm¨uller theory; Holomorphic motions and structural stability; Iteration on Teichm¨uller space; Geometr . . . . .
Course of differential geometry
Author: Ruslan Sharipov  Language:
This book is a textbook for the basic course of differential geometry. It is recommended as an introductory material for this subject.
Ricci-Hamilton flow on surfaces: lectures on works of R.Hamilton and G.Perelman
Author: Li Ma  Language:
Contents: Ricci-Hamilton flow on surfaces; Bartz-Struwe-Ye estimate; Hamilton’s another proof on S^2; Perelman’s W-functional and its applications; Appendix A: Ricci-Hamilton flow on Riemannian manifo . . . . .
Differential Geometry: A First Course in Curves and Surfaces
Author: Theodore Shifrin  Language:
Contents: CURVES; SURFACES: LOCAL THEORY; SURFACES: FURTHER TOPICS; REVIEW OF LINEAR ALGEBRA AND CALCULUS; SOLUTIONS TO SELECTED EXERCISES.
Lectures on Differential Geometry
Author: Werner Ballmann  Language:
Contents: Basic Geometry of Submanifolds; Connections and Geodesics; Vector Bundles and Connections; Semi-Riemannian Metrics; Riemannian Immersions and Submersions; Variational Theory of Geodesic . . . . .
Differentiable Manifolds
Author: Nigel Hitchin  Language:
Contents: Introduction; Manifolds; Tangent vectors and cotangent vectors; Vector fields; Tensor products; Differential forms; Integration of forms; The degree of a smooth map; Riemannian metrics; appe . . . . .
Topics in Differential Geometry
Author: Werner Ballman  Language:
Contents: On the Geometry of Metric Spaces; Automorphism Groups; Geometric Structures; Homogeneous Structures; Symmetric Spaces.
Introduction to evolution equations in geometry
Author: Bianca Santoro  Language:
These are the very unpretentious lecture notes for the minicourse "Introduction to evolution equations in Geometry," a part of the Brazilian Colloquium of Mathematics held at IMPA, in July of 2009.
Noncompact harmonic manifolds
Author: Gerhard Knieper, Norbert Peyerimhoff  Language:
The Lichnerowicz conjecture asserts that all harmonic manifolds are either flat or locally symmetric spaces of rank 1. This conjecture has been proved by Z.I. Szabo for harmonic manifolds with compact . . . . .
A Course in Riemannian Geometry
Author: Dr. David R. Wilkins  Language:
Contents: Smooth Manifolds; Tangent Spaces ; Affine Connections on Smooth Manifolds; Riemannian Manifolds; Geometry of Surfaces in R3; Geodesics in Riemannian Manifolds; Complete Riemannian Manifolds; . . . . .
Orthonormal Basis in Minkowski Space
Author: Aleks Kleyn, Alexandre Laugier  Language:
Finsler space is differentiable manifold for which Minkowski space is the fiber of the tangent bundle. To understand structure of the reference frame in Finsler space, we need to understand the struct . . . . .
Notes on Differential Geometry
Author: Markus Deserno  Language:
These notes are an attempt to summarize some of the key mathematical aspects of differential geometry, as they apply in particular to the geometry of surfaces in R3. The focus is not on mathematical . . . . .
Lecture Notes on Differential Geometry
Author: Alexander Altland  Language:
Contents: Exterior Calculus; Manifolds; Lie groups; Fibre bundles.
Differential Geometry and Physics
Author: Gabriel Lugo  Language:
Contents: I. Vectors and Curves 1.1 Tangent Vectors 1.2 Curves 1.3 Fundamental Theorem of Curves II. Differential forms 2.1 1-Forms 2.2 Tensors and Forms of Higher Rank 2.3 Exterior Derivativ . . . . .
Lectures on Calabi-Yau and special Lagrangian geometry
Author: Dominic Joyce  Language:
This paper gives a leisurely introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by a survey of recent results on singulari . . . . .
A primer on the (2 1) Einstein universe
Author: Thierry Barbot, Virginie Charette, Todd Drumm, William M. Goldma  Language:
The Einstein universe is the conformal compactification of Minkowski space. It also arises as the ideal boundary of anti-de Sitter space. The purpose of this article is to develop the synthetic ge . . . . .
Diffential Geometry: Lecture Notes
Author: Dimitri Zaitev  Language:
Contents: Introduction to smooth manifolds; basic results from differential topology; tangent spaces and tensor calculus; Riemannian geometry.
Lectures on Minimal Surface Theory
Author: Brian White  Language:
An article based on a four-lecture introductory minicourse on minimal surface theory given at the 2013 summer program of the Institute for Advanced Study and the Park City Mathematics Institute.
Lecture notes for the course in Differential Geometry
Author: Yakov  Language:
Mostly they constitute a collection of definitions, formulations of most important theorems and related problems for self-control.
Differential Geometry
Author: Balázs Csikós  Language:
Basic Structures on Rn; Curvatures of a Curve; 3D Curves - Curves on Hypersurfaces; Hypersurfaces; Surfaces in the 3-dimensional space; Surfaces in the 3-dimensional space; The Lie Algebra of Vector . . . . .
Introduction aux variétés différentielles
Author: Jacques Lafontaine  Language:
Introduction aux variétés différentielles Contenu: Prérequis en topologie; Calcul différentiel; Notions de base sur les variétés; Du local au global; Autour des groupes de Lie; Formes différentielles; Intégration et applications; Cohomologie . . . . .

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