Current developments in differential geometry and its related fields : proceedings of the 4th International Colloquium on Differential Geometry and its Related Fields, Veliko Tarnovo, Bulgaria, 8-12 September 2014 / editors: Toshiaki Adachi, Hideya Hashimoto, Milen J. Hristov.

Format:

Book

Conference/Event

Contributor:

Adachi, Toshiaki, editor.

Hashimoto, Hideya, editor.

Hristov, Milen J., editor.

Conference Name:

International Colloquium on Differential Geometry and its Related Fields (4th : 2014 : Veliko T©Œurnovo, Bulgaria), issuing body.

Language:

English

Subjects (All):

Geometry, Differential--Congresses.

Geometry, Differential.

Physical Description:

1 online resource (256 p.)

Place of Publication:

Singapore : World Scientific, [2016]

Summary:

"This volume contains contributions by the main participants of the 4th International Colloquium on Differential Geometry and its Related Fields (ICDG2014). These articles cover recent developments and are devoted mainly to the study of some geometric structures on manifolds and graphs. Readers will find a broad overview of differential geometry and its relationship to other fields in mathematics and physics."-- Provided by publisher.

Contents:

Contents; Preface; Organizing and Scientific Advisory Committees; Presentations; Einstein metrics on the symplectic group which are not naturally reductive; 1. Introduction; 2. The Ricci tensor for reductive homogeneous spaces; 3. A class of left-invariant metrics on Sp(n) = Sp(k1+k2+k3); 4. Naturally reductive metrics on the compact Lie group Sp(n); 5. The Ricci tensor for a class of left-invariant metrics on Sp(n) = Sp(k1+k2+k3); 6. Left-invariant Einstein metrics on Sp(n); Acknowledgments; References; Laplacians for finite regular Kahler graphs and for their dual graphs; 1. Introduction

2. Magnetic fields3. Kähler graphs; 4. Duality of adjacency and transition operators; 5. Magnetic means; 6. Kähler graphs having selfadjoint (p, q)-Laplacians; References; S1-invariant Einstein-Weyl structure and twistor correspondence; 1. Introduction; 2. Preliminaries; 3. Standard model; 4. S1-invariant Einstein-Weyl structures; 5. Twistor space and the main theorem; 6. Deformation of holomorphic disks; 7. Distribution; 8. Recovering the Einstein-Weyl structure; References; A family of surfaces in E3 given by an over-determined system; 1. Introduction

1.1. Over-determined systems on surfaces1.2. The purposes; 2. A two-dimensional manifold equipped with a 1-form and two one-dimensional distributions; 3. The case where Y 2 = 4XZ; Appendix. Semilinear hyperbolic differential equations; References; Some remarks on noncommutative instantons; 1. Introduction; 2. Noncommutative spaces, algebras of operators and the Fock-Hilbert space; 3. Vector bundles, connections and curvatures; 4. Fields, gauges, instantons, ASD equations; 5. ASD equations on free modules; 6. ADHM construction and topological charge; References

Almost CR structure on the twistor space of a quaternionic CR manifold1. Introduction; 2. CR structure; 3. Quaternionic CR structure; 4. Canonical connection; 5. Strong integrability and almost CR structure on the twistor space; 6. Comparison of quaternionic CR and quaternionic contact structures; 7. Proofs of Lemmas 5.1 and 5.2; References; Five-dimensional Lie groups which are almost contact B-metric manifolds with three natural connections; 1. Introduction; 2. Almost contact B-metric manifolds; 3. 5-dimensional Lie groups belonging to F7; 4. Proofs of Theorems 3.1 and 3.2

5. Isotropic-F0-manifoldsReferences; On hyperelliptic minimal surfaces with even genus; 1. Introduction; 2. Outline of an algorithm; 3. A construction of the Gauss map for the genus 4 case; 4. Stories of the proofs of the Main Theorems; References; Laplacians of Kahler graphs; 1. Introduction; 2. Kahler graphs; 3. Bicolored paths and Laplacians; 4. Eigenvalues of complement-filled Kahler graphs; 5. Eigenvalues of typical Kahler graphs; 6. Eigenvalues of Kahler graphs of product type; References; Hopf fibration and Cartan imbedding of type AI; 1. Introduction; 2. On symmetric space of type AI

3. On irreducible representations of SU(2)

Notes:

Description based upon print version of record.

Description based on print version record.

Includes bibliographical references.

ISBN:

981-4719-78-1