Real and Complex Geometry : In Honour of Paul Gauduchon / edited by Liviu Ornea.

Format:

Book

Author/Creator:

Ornea, Liviu.

Series:

Mathematics and Statistics Series

Language:

English

Subjects (All):

Geometry.

Mathematics.

Local Subjects:

Geometry.

Mathematics.

Physical Description:

1 online resource (634 pages)

Edition:

1st ed. 2025.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2025.

Summary:

The book covers a wide area of hot subjects in real and complex differential geometry, such as conformal geometry, special holonomy, Sasakian geometry, Kähler and non-Kähler metrics, classification of compact complex surfaces, Einstein metrics, bi-Hermitian geometry, non-integrable almost complex structures, etc. All of these are rather close to Paul Gauduchon’s themes and influential results in the past fifty years. The reader will find fifteen papers – a few surveys, but the majority containing new and exciting results. The book thus gives an idea of the present research interests of some of the best experts today in real and complex differential geometry including Vestislav Apostolov, Florin Belgun, Charles Boyer, Georges Dloussky, Anna Fino, Gueo Grantcharov, Claude LeBrun, Andrei Moroianu, Massimiliano Pontecorvo, Simon Salamon, Andrew Swann, Adriano Tomassini, Valentino Tosatti, and Misha Verbitsky.

Contents:

Chapter 1. From Kähler Ricci Solitons to Calabi-Yau Kähler Cones

Chapter 2. Projective Structures on Curves and Conformal Geometry

Chapter 3. Constant Scalar Curvature Sasaki Metrics

Chapter 4. A Mapping Tori Construction of Strong HKT and Generalized Hyperkähler Manifolds

Chapter 5. Classification of Odd Generalized Einstein Metrics on 3-Dimensional Non-Unimodular Lie Groups

Chapter 6. Cohomological Lifting of Multi-Toric Graphs

Chapter 7. On Classification of Compact Complex Surfaces of Class VII

Chapter 8. Conformal Vector Fields on LCP Manifolds

Chapter 9. On Some Properties of Hopf Manifolds

Chapter 10. Einstein Constants and Smooth Topology

Chapter 11. The Lee–Gauduchon cone on complex manifolds

Chapter 12. Bi-Hermitian and locally conformally Kähler surfaces

Chapter 13. Revisiting 3-Sasakian and G2-structures

Chapter 14. Kodaira Dimension of SU(m)-Structures.-Chapter 15. A Cheng-Yau Type Estimate for the Symplectic Calabi-Yau Equation.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: Ornea, Liviu Real and Complex Geometry

ISBN:

9783031922978

OCLC:

1526862497