LEADER 04175oam 2200529 450 001 9910806815703321 005 20240129173346.0 010 $a981-4541-81-8 035 $a(OCoLC)860388594 035 $a(MiFhGG)GVRL8RGI 035 $a(EXLCZ)992550000001160080 100 $a20140116h20142014 uy 0 101 0 $aeng 135 $aurun#---uuuua 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aProspects of differential geometry and its related fields $eproceedings of the 3rd International Colloquium on Differential Geometry and its Related Fields, Veliko Tarnovo, Bulgaria, 3-7 September 2012 /$feditors, Toshiaki Adachi, Hideya Hashimoto, Milen J Hristov 210 1$aNew Jersey :$cWorld Scientific,$d[2014] 210 4$dc2014 215 $a1 online resource (xiv, 228 pages) $cillustrations (some color) 225 0 $aGale eBooks. 300 $aDescription based upon print version of record. 311 $a981-4541-80-X 311 $a1-306-12034-9 320 $aIncludes bibliographical references. 327 $aPreface; 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 327 $a2. 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 327 $a5. 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 327 $aVolume densities of trajectory-balls and trajectory-spheres for Kahler magnetic fields Pengfei BAI 330 $aThis 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 606 $aGeometry, Differential 606 $aGeometry, Differential$vCongresses 615 0$aGeometry, Differential. 615 0$aGeometry, Differential 676 $a510 676 $a516.36 702 $aAdachi$b Toshiaki$f1960- 702 $aHashimoto$b Hideya 702 $aHristov$b Milen J. 712 12$aInternational Colloquium on Differential Geometry and its Related Fields 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910806815703321 996 $aProspects of differential geometry and its related fields$94107200 997 $aUNINA