
- 460 pages
- English
- PDF
- Available on iOS & Android
Recent Topics in Differential and Analytic Geometry
About this book
Advanced Studies in Pure Mathematics, Volume 18-I: Recent Topics in Differential and Analytic Geometry presents the developments in the field of analytical and differential geometry. This book provides some generalities about bounded symmetric domains. Organized into two parts encompassing 12 chapters, this volume begins with an overview of harmonic mappings and holomorphic foliations. This text then discusses the global structures of a compact KƤhler manifold that is locally decomposable as an isometric product of Ricci-positive, Ricci-negative, and Ricci-flat parts. Other chapters consider the most recognized non-standard examples of compact homogeneous Einstein manifolds constructed via Riemannian submersions. This book discusses as well the natural compactification of the moduli space of polarized EinsteināKƤhler orbitfold with a given Hilbert polynomials. The final chapter deals with solving a degenerate MongeāAmpĆØre equation by constructing a family of EinsteināKƤhler metrics on the smooth part of minimal varieties of general kind. This book is a valuable resource for graduate students and pure mathematicians.
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Table of contents
- Front Cover
- Recent Topics in Differential and Analytic Geometry
- Copyright Page
- Table of Contents
- Foreword
- Preface to the Present Volume
- CONTENTS OF VOLUME 18-II
- Part I
- Part II