2 edition of **Metric and Differential Geometry** found in the catalog.

- 105 Want to read
- 20 Currently reading

Published
**2012**
by Springer Basel in Basel
.

Written in English

- Differential Geometry,
- Geometry,
- Mathematics,
- Global differential geometry,
- Global analysis (Mathematics),
- Global Analysis and Analysis on Manifolds,
- K-theory

**Edition Notes**

Statement | edited by Xianzhe Dai, Xiaochun Rong |

Series | Progress in Mathematics -- 297 |

Contributions | Rong, Xiaochun, SpringerLink (Online service) |

The Physical Object | |
---|---|

Format | [electronic resource] : |

ID Numbers | |

Open Library | OL27074699M |

ISBN 10 | 9783034802574 |

Frankel’s book [9], on which these notes rely heavily. For \classical" diﬁerential geometry of curves and surfaces Kreyszig book [14] has also been taken as a reference. The depth of presentation varies quite a bit throughout the notes. Some aspects are deliberately worked out in great detail, others areFile Size: 1MB. We investigate properties of the Hodge metric of a mixed period domain. In particular, we calculate its curvature and the curvature of the Hodge bundles. We also consider when the pull back metric via a period map is Kähler. Several applications in cases of geometric interest are given, such as for normal functions and biextension by: 7.

This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on manifolds in Euclidean space and the metric properties they. Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in theory of plane and space curves and surfaces in the three-dimensional Euclidean space formed the basis for development of differential geometry during the 18th century and the 19th century.

Here are my favorite ones: Calculus on Manifolds, Michael Spivak, - Mathematical Methods of Classical Mechanics, V.I. Arnold, - Gauge Fields, Knots, and Gravity, John C. Baez. I can honestly say I didn't really understand Calculus until I read. Primarily intended for the undergraduate and postgraduate students of mathematics, this textbook covers both geometry and tensor in a single volume. This book aims to provide a conceptual exposition of the fundamental results in the theory of tensors. It also illustrates the applications of tensors to differential geometry, mechanics and s: 2.

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Metric and Differential Geometry: The Jeff Cheeger Anniversary Volume (Progress in Mathematics Book ) - Kindle edition by Dai, Xianzhe, Rong, Xiaochun. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Metric and Differential Geometry: The Jeff Cheeger Anniversary Volume (Progress in Mathematics.

Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing.

The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic : Hardcover.

About this book. Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and.

Buy Metric differential geometry of curves and surfaces, on FREE SHIPPING on qualified orders Metric differential geometry of curves and surfaces: Lane, Ernest Preston: : Books. Introduction. Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing.

The various contributions in this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, and hypoelliptic Laplacian and analytic. Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing.

The various contributions in this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, and hypoelliptic Laplacian and analytic torsion.

Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing.

The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion.

Differential Geometry Of Three Dimensions This book describes the fundamentals of metric differential geometry of curves and surfaces. Author(s): C. E Weatherburn Projective differential geometry old and new from Schwarzian derivative to cohomology of diffeomorphism groups. Intrinsic metric and isometries of surfaces, Gauss's Theorema Egregium, Brioschi's formula for Gaussian curvature.

Lecture Notes Gauss's formulas, Christoffel symbols, Gauss and Codazzi-Mainardi equations, Riemann curvature tensor, and a second proof of Gauss's Theorema Egregium. Lecture Notes geometry to follow later in the course.

These notes are still very much “under construction”. Moreover, they are on the whole pretty informal and meant as a companion but not a substitute for a careful and detailed textbook treatment of the material–for the latter, the reader should consult the references described in Section This course is an introduction into metric differential geometry.

It will start with the geometry of curves on a plane and in 3-dimensional Euclidean space. In this part of the course we will focus on Frenet formulae and the isoperimetric inequality. Then we will study surfaces in 3-dimensional Euclidean space. This first course in differential geometry presents the fundamentals of the metric differential geometry of curves and surfaces in a Euclidean space of three dimensions.

Written by an outstanding teacher and mathematician, it explains the material in the most effective way, using vector notation and technique. The last three chapters study bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle.

These concepts are illustrated in detail for bundles over spheres. The last three chapters study bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle.

These concepts are illustrated in detail for bundles over spheres/5(2). semester course in extrinsic di erential geometry by starting with Chapter 2 and skipping the sections marked with an asterisk like x This document is designed to be read either as le or as a printed book.

We thank everyone who pointed out errors or typos in earlier versions of this by: Books shelved as differential-geometry: Differential Geometry of Curves and Surfaces by Manfredo P. Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras (Paperback) by.

Joseph Muscat (shelved 1 time as differential-geometry) Tensors, Differential Forms, and Variational Principles (Paperback) by. An Introduction to Differential Geometry through Computation.

This note explains the following topics: Linear Transformations, Tangent Vectors, The push-forward and the Jacobian, Differential One-forms and Metric Tensors, The Pullback and Isometries, Hypersurfaces, Flows, Invariants and the Straightening Lemma, The Lie Bracket and Killing Vectors, Hypersurfaces, Group actions and Multi.

Multivariable Calculus and Differential Geometry (de Gruyter Textbook) Metric Structures in Differential Geometry (Graduate Texts in Mathematics Book ) Gerard Walschap.

out of 5 stars 2. Kindle Edition. $ A Visual Introduction to Differential Forms and Calculus on ManifoldsCited by: 2. DIFFERENTIAL GEOMETRY E otv os Lor and University torsion, hypersurface, funda-mental forms, principal curvature, Gaussian curvature, Minkowski curvature, manifold, tensor eld, connection, geodesic curve SUMMARY: The aim of this textbook is to give an introduction to di er-ential geometry.

It is based on the lectures given by the author at. Jeffrey Lee, Manifolds and Differential geometry, chapters 12 and 13 - center around the notions of metric and connection. Will Merry, Differential Geometry - lectures also center around metrics and connections, but the notion of parallel transport is worked out much more thoroughly than in Jeffrey Lee's book.

Book Title:Metric Structures in Differential Geometry This text is an introduction to the theory of differentiable manifolds and fiber bundles. The only requisites are a solid background in calculus and linear algebra, together with some basic pointset topology.Do carmo' Differential Geometry(now available from Dover) is a very good textbook.

For a comprehensive and encyclopedic book Spivak' 5-volume book is a gem. The gold standard classic is in my opinion still Kobayashi and Nomizu' Foundations of differential geometry.The first two chapters of "Differential Geometry", by Erwin Kreyszig, present the classical differential geometry theory of curves, much of which is reminiscent of the works of Darboux around about Then there is a chapter on tensor calculus in the context of Riemannian geometry/5(50).