Current Developments In Differential Geometry And Its Related Fields - Proceedings Of The 4th International Colloquium On Differential Geometry And Its Related Fields

by Toshiaki Adachi, Hideya Hashimoto, Milen J Hristov

Overview

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.

Product Details

ISBN-13:	9789814713788
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	12/14/2015
Pages:	256
Product dimensions:	6.30(w) x 9.10(h) x 0.80(d)

Table of Contents

Preface v

Organizing and Scientific Advisory Committees vii

Presentations ix

Einstein metrics on the symplectic group which are not naturally reductive Andreas Arvanitoyeorgos Yusuke Sakane Marina Statha 1

Laplacians for finite regular Kähler graphs and for their dual graphs Toshiaki Adachi 23

S¹-invariant Einstein-Weyl structure and twistor correspondence Fuminori Nakata 45

A family of surfaces in E³ given by an over-determined system Naoya Ando 57

Some remarks on noncommutative instantons Nikolay A. Ivanov 77

Almost CR structure on the twistor space of a quaternionic CR manifold Hiroyuki Kamada Shin Nayatani 93

Five-dimensional Lie groups which are almost contact B-metric manifolds with three natural connections Miroslava Ivanova Hristo Manev 115

On hyperelliptic minimal surfaces with even genus Norio Ejiri Toshihiro Shoda 129

Laplacians of Kähler graphs Yaermaimaiti Tuerxunmainaiti (Yarmamat Tursun) 139

Hopf fibration and Cart an imbedding of type AI Hideya Hashimoto Kazuhiro Suzuki 155

On totally umbilical and screen totally umbilical radical transversal light like hypersurfaees of Kähler-Norden manifolds Galia Nakova 165

Complex statistical manifolds and complex affine immersions Hiroshi Matsuzoe 183

A method of determining the SO(7)-invariants for curves in Im O by their G₂-invariauts Misa Ohashi 201

Magnetic Jacobi fields for surface magnetic fields Qingsong Shi 215

A geometric study on Laplace transformed curves Milen J. Hristov 225

Vector-valued Laplace transformation applied to rational Bézier curves Milen J. Hristov 235