Prospects of differential geometry and its related fields : proceedings of the 3rd International Colloquium on Differential Geometry and its Related Fields, Veliko Tarnovo, Bulgaria, 3-7 September 2012 / / editors, Toshiaki Adachi, Hideya Hashimoto, Milen J Hristov

• Pubblicazione: New Jersey : , : World Scientific, , [2014]; c2014
• Descrizione fisica: 1 online resource (xiv, 228 pages) : illustrations (some color)
• Disciplina: 510; 516.36
• Soggetto topico: Geometry, Differential
• Persona (resp. second.): AdachiToshiaki <1960->; HashimotoHideya; HristovMilen J.
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Preface; Organizing and Scientific Advisory Committees; Presentations; CONTENTS; Geometry of biharmonic maps: L2-rigidity, biharmonic Lagrangian submanifolds of Kahler manifolds, and conformal change of metrics Hajime URAKAWA; 1. Introduction and the generalized Chen's conjecture; 2. L2-rigidity theorem of biharmonic maps; 3. Lagrangian submanifolds of Kahler manifolds; 4. Conformal change of metrics and biharmonic maps; Bibliography; Homogeneous Einstein metrics on generalized flag manifolds with G2-type t-roots Andreas ARVANITOYEORGOS, Ioannis CHRYSIKOS and Yusuke SAKANE; 1. Introduction ; 2. Ricci tensor of a compact homogeneous space G/K3. Riemannian submersion; 4. Decomposition associated to generalized flag manifolds; 5. The classification of generalized flag manifolds with G2-type t-roots; 6. Kahler Einstein metrics of a generalized flag manifold; 7. Generalized flag manifolds with two or three isotropy summands; 8. Generalized flag manifolds with G2-type t-roots; 9. Proof of the theorems; Acknowledgments; Bibliography; Applications of the Gaussian integers in coding theory Stefka BOUYUKLIEVA; 1. Introduction; 2. Some properties of the Gaussian integers ; 5. Twistor theory for Tod-Kamada metric5.1. Model case; 5.2. Tod-Kamada metric; 5.3. Twistor space of Tod-Kamada metric; 6. Twsitor theory for indefinite self-dual metric on R4; 6.1. Model case; 6.2. Deformation of the twistor correspondence; Bibliography; A dynamical systematic aspect of horocyclic circles in a complex hyperbolic space Toshiaki ADACHI; 1. Introduction; 2. Circles on a complex space form; 3. Sasakian magnetic fields; 4. Extrinsic circular trajectories; 5. Other trajectories for Sasakian magnetic fields; Bibliography ; Volume densities of trajectory-balls and trajectory-spheres for Kahler magnetic fields Pengfei BAI
• Sommario/riassunto: This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria. Readers will find original papers by specialists and well-organized reports of recent developments in the fields of differential geometry, complex analysis, information geometry, mathematical physics and coding theory. This volume provides significant information that will be useful to researchers and serves as a good guide for young scientists. It is also for those who wish to start investigat
• Titolo autorizzato: Prospects of differential geometry and its related fields
• ISBN: 981-4541-81-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910806815703321
• Lo trovi qui: Univ. Federico II