These results have had far-reaching consequences in algebraic geometry, topology, and mathematical physics, and will continue to be a mainspring of mathematical research for years to come. The Geometry of Four-Manifolds (Oxford Mathematical Monographs) 2025 pdf epub mobi 电子书 The Geometry of Four...
The last ten years have seen rapid advances in the understanding of differentiable four-manifolds, not least of which has been the discovery of new 'exotic' manifolds. These results have had far-reaching consequences in geometry, topology, and mathematical physics, and have proven to be a ...
Oxford Mathematical Monographs(共4册),这套丛书还有 《Introduction to Symplectic Topology》《Geometric Quantization》《Foliations and the Geometry of 3-manifolds》。 喜欢读"The Geometry of Four-Manifolds (Oxford Mathematical Monographs)"的人也喜欢 ··· Tata Lectures on Theta I Mirror Symmetry ...
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dimensional manifolds admitting metrics of any of the three possible signatures and, in particular, those admitting a metric of neutral signature ( + , + , , ) , together with the solutions (in the appropriate cases) of the equation h = 0 for a second order symmetric non-degenerate tensor...
Foliations and the Geometry of 3-manifolds 2025 pdf epub mobi 电子书 图书描述 This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an...
Chern, S.S.: Complex Manifolds Without Potential Theory. D. Van Nostrand Comp., Princeton (1967a) Google Scholar Chern, S.S.: Studies in global geometry and analysis. Math. Ass. America. Prentice Hall, Englewood Cliffs (1967b) Google Scholar ...
We'll address those ambiguities later. For the time being, when we think about shape, we're referring to the geometry of space. For example, on a flat surface, the angles of a triangle always add up to 180 degrees, but on a curved surface, they can add up to more or less than 18...