Topics in Global Real Analytic Geometry
نویسندگان
چکیده
This book describes the theory of analytic C-spaces developed by Cartan, Whitney and Tognoli, some central results in global real geometry.
منابع مشابه
Local Geometry of Singular Real Analytic Surfaces
Let V ⊂ R be a compact real analytic surface with isolated singularities, and assume its smooth part V0 is equipped with a Riemannian metric that is induced from some analytic Riemannian metric on R . We prove: 1. Each point of V has a neighborhood which is quasi-isometric (naturally and ’almost isometrically’) to a union of metric cones and horns, glued at their tips. 2. A full asymptotic expa...
متن کاملTopics in Absolute Anabelian Geometry Iii: Global Reconstruction Algorithms
In the present paper, which forms the third part of a three-part series on an algorithmic approach to absolute anabelian geometry, we apply the absolute anabelian technique of Belyi cuspidalization developed in the second part, together with certain ideas contained in a earlier paper of the author concerning the categorytheoretic representation of holomorphic structures via either the topologic...
متن کاملTopics in Differential Geometry
In less than two pages (pp. 54–55) the Campbell-Baker-Hausdorff formula is taken care of, in a proof containing exactly forty-eight English words: the rest is algebraic manipulation. For some of us, myself included, this is an exposition devoutly-to-be-wished; for the complementary set of readers it’s something a lot less than palatable. So, given that Peter W. Michor’s Topics in Differential G...
متن کاملTopics in Hyperbolic Geometry
There are two types of parallel lines in Hyperbolic Geometry. There are those who diverge from each other in both directions (type 1) and those that diverge in one direction but come arbitrarily close to each other in the other direction (type 2). The first type have a minimum positive distance at points on a common perpendicular. The second type have no minimum distance: the distance tends to ...
متن کاملAlgebraicity of global real analytic hypersurfaces
In this paper we generalize some results of [2] dealing with transforming real analytic sets onto real algebraic sets. There are obstructions of both local and global nature. The local obstruction is manageable, provided the singularities of the real analytic set under consideration are isolated. The global obstruction can be expressed in terms of homology. For simplicity we will call nonsingul...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Springer monographs in mathematics
سال: 2022
ISSN: ['1439-7382', '2196-9922']
DOI: https://doi.org/10.1007/978-3-030-96666-9