04175oam 2200529 450 991080681570332120240129173346.0981-4541-81-8(OCoLC)860388594(MiFhGG)GVRL8RGI(EXLCZ)99255000000116008020140116h20142014 uy 0engurun#---uuuuatxtrdacontentcrdamediacrrdacarrierProspects 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 HristovNew Jersey :World Scientific,[2014]c20141 online resource (xiv, 228 pages) illustrations (some color)Gale eBooks.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, DifferentialGeometry, DifferentialCongressesGeometry, Differential.Geometry, Differential510516.36Adachi Toshiaki1960-Hashimoto HideyaHristov Milen J.International Colloquium on Differential Geometry and its Related FieldsMiFhGGMiFhGGBOOK9910806815703321Prospects of differential geometry and its related fields4107200UNINA