04600nam 2200649 450 991045324320332120200520144314.0981-4541-81-8(CKB)2550000001160080(EBL)1561233(OCoLC)863039036(SSID)ssj0001166511(PQKBManifestationID)11647072(PQKBTitleCode)TC0001166511(PQKBWorkID)11120561(PQKB)10025948(MiAaPQ)EBC1561233(WSP)00008929(PPN)189547170(Au-PeEL)EBL1561233(CaPaEBR)ebr10801130(EXLCZ)99255000000116008020131203h20142014 uy| 0engur|n|---|||||txtccrProspects 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, Nagoya Institute of Technology, Japan, Hideya Hashimoto, Meijo University, Japan, Milen J. Hristov, St. Cyril and St. Methodius University of Veliko Tarnovo, BulgariaNew Jersey :World Scientific,[2014]©20141 online resource (243 p.)Description based upon print version of record.981-4541-80-X 1-306-12034-9 Includes bibliographical references.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. Introduction2. 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 integers5. 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; BibliographyVolume densities of trajectory-balls and trajectory-spheres for Kahler magnetic fields Pengfei BAIThis 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 investigatGeometry, DifferentialCongressesElectronic books.Geometry, Differential510516.36Adachi Toshiaki892877Hashimoto Hideya892878Hristov Milen J953743International Colloquium on Differential Geometry and its Related FieldsMiAaPQMiAaPQMiAaPQBOOK9910453243203321Prospects of differential geometry and its related fields2156469UNINA