Download E-books Recent Topics in Differential and Analytic Geometry (Advanced Studies in Pure Mathematics) PDF

By T. Ochiai

Complicated experiences in natural arithmetic, quantity 18-I: fresh issues in Differential and Analytic Geometry offers the advancements within the box of analytical and differential geometry. This publication offers a few generalities approximately bounded symmetric domains.

Organized into elements encompassing 12 chapters, this quantity starts with an outline of harmonic mappings and holomorphic foliations. this article then discusses the worldwide constructions of a compact Kähler manifold that's in the community decomposable as an isometric manufactured from Ricci-positive, Ricci-negative, and Ricci-flat components. different chapters contemplate the main famous non-standard examples of compact homogeneous Einstein manifolds built through Riemannian submersions. This ebook discusses in addition the typical compactification of the moduli house of polarized Einstein–Kähler orbitfold with a given Hilbert polynomials. the ultimate bankruptcy bargains with fixing a degenerate Monge–Ampère equation via developing a relations of Einstein–Kähler metrics at the delicate a part of minimum types of common kind.

This ebook is a useful source for graduate scholars and natural mathematicians.

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