Main Category: Mathematics >> Sub Category: Geometry
Foundations of Differential Geometry

Contents: Differentiable Manifolds; Submersions and Immersions; Vector Fields and Flows; Lie Groups; Vector Bundles; Differential Forms; Integration on Manifolds; De Rham cohomology; Cohomology with compact supports and Poincare duality; De Rham cohomology of compact manifolds; Derivations on the Algebra of Differential Forms; Fiber Bundles and Connections; Principal Fiber Bundles and G-Bundles; Principal and Induced Connections; Characteristic classes; Jets.     

Author Name :Peter W. Michor

No Of Visit :628      Posted Comments :

An Introduction to Complex Algebraic Geometry

The material presented here consists of a more or less self-contained advanced course in complex algebraic geometry presupposing only some familiarity with the theory of algebraic curves or Riemann surfaces. But the goal, as in the lectures, is to understand the Enriques classification of surfaces from the point of view of Mori-theory.     

Author Name :Chris Peters

No Of Visit :619      Posted Comments :

Geometric Methods in the Algebraic Theory of Quadratic Forms

The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadrics have been central to the proofs of fundamental results since the 1960's. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems. Several aspects of these new methods are addressed in this volume, which includes an introduction to motives of quadrics by A. Vishik, with various applications, notably to the splitting patterns of quadratic forms, papers by O. Izhboldin and N. Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields withu-invariant 9, and a contribution in French by B. Kahn which lays out a general framework for the computation of the unramified cohomology groups of quadrics and other cellular varieties.     

Author Name :Oleg T. Izhboldin, Bruno Kahn, Nikita A. Karpenko, Alexander Vishik

No Of Visit :565      Posted Comments :

Geometric Methods in the Algebraic Theory of Quadratic Forms

The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadricshave beencentral to the proofs of fundamental results since the renewal of the theory by Pfister in the 1960's. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems.     

Author Name :Oleg T. Izhboldin, Bruno Kahn, Nikita A. Karpenko, Alexander Vishik

No Of Visit :835      Posted Comments :

The Geometry of Physics

Theodore Frankel explains those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms essential to a better understanding of classical and modern physics and engineering. Key highlights of his new edition are the inclusion of three new appendices that cover symmetries, quarks, and meson masses; representations and hyperelastic bodies; and orbits and Morse-Bott Theory in compact Lie groups. Geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space.     

Author Name :Theodore Frankel

No Of Visit :607      Posted Comments :

SEARCH BY CATEGORIES

Arts & Humanities

Science

Social Science

Mathematics

Engineering & Technology

Business & Finance

Media & Entertainment

Sports & Games

General Knowledge

Business Admin and Management

Medical

Travel & Adventure

Society, Entertainment & Lifestyle

MAGAZINES