LEADER 05163nam 2200637 a 450 001 9910778811203321 005 20230802004402.0 010 $a1-280-37558-2 010 $a9786613555403 010 $a981-4355-47-X 035 $a(CKB)2550000000079678 035 $a(EBL)840696 035 $a(SSID)ssj0000647392 035 $a(PQKBManifestationID)12207779 035 $a(PQKBTitleCode)TC0000647392 035 $a(PQKBWorkID)10594083 035 $a(PQKB)11226610 035 $a(MiAaPQ)EBC840696 035 $a(WSP)00008187 035 $a(Au-PeEL)EBL840696 035 $a(CaPaEBR)ebr10524617 035 $a(CaONFJC)MIL355540 035 $a(OCoLC)877767421 035 $a(EXLCZ)992550000000079678 100 $a20120207d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRecent progress in differential geometry and its related fields$b[electronic resource] $eproceedings of the 2nd International Colloquium on Differential Geometry and Its Related Fields, Veliko Tarnovo, Bulgaria, 6-10 September, 2010 /$feditors, Toshiaki Adachi, Hideya Hashimoto, Milen J. Hristov 210 $aHackensack, N.J. $cWorld Scientific$d2012 215 $a1 online resource (207 p.) 300 $aDescription based upon print version of record. 311 $a981-4355-46-1 320 $aIncludes bibliographical references and index. 327 $a8.1. Case of Sp(3)/(U(1) x U(1) x Sp(1))8.2. Case of Sp(4)/(U(1) x U(1) x Sp(2)); 8.3. Case of Sp(4)/(U(2) x U(1) x Sp(1)); Acknowledgments; References; On G -invariants of curves in purely imaginary octonions Misa OHASHI; 1. Introduction; 2. Preliminaries; 3. G -congruence theorem of curves in Im C; 3.1. G -frame field along a curve; 3.2. G -invariants; 3.3. G -congruence theorem; 4. Curves in 3-dimensional Euclidean space V Im C; 5. Curves in 4-dimensional Euclidean space V Im C; References; Magnetic Jacobi fields for K hler magnetic fields Toshiaki ADACHI; 1. Introduction 327 $a2. Magnetic exponential maps3. Magnetic Jacobi fields; 4. Magnetic conjugate points on complex space forms; 5. Comparison theorems on magnetic Jacobi fields; References; Geometry for q-exponential families Hiroshi MATSUZOE and Atsumi OHARA; Introduction; 1. Preliminaries; 1.1. Statistical models; 1.2. Statistical manifolds; 1.3. Generalized conformal relations on statistical manifolds; 2. Geometry for q-exponential families; 2.1. The q-escort probability and the q-expectation; 2.2. The q-exponential family; 2.3. Geometry for q-exponential families; 3. An application to statistical inferences 327 $a3.1. Generalization of independence3.2. Geometry for q-likelihood estimators; Acknowledgment; References; Sasakian magnetic fields on homogeneous real hypersurfaces in a complex hyperbolic space Tuya BAO; 1. Introduction; 2. K ahler and Sasakian magnetic fields; 3. Real hypersurfaces in a complex hyperbolic space; 4. Circles and curves of order two; 5. Circular trajectories for Sasakian magnetic fields; 6. Characterization of hypersurfaces of type (A); 7. Extrinsic shapes of trajectories; 8. Asymptotic behaviors of circular trajectories; 9. Lengths of circular trajectories; References 327 $aTYZ expansions for some rotation invariant K hler metrics Todor GRAMCHEV and Andrea LOI1. Introduction; 2. On the remainder term for the cylindrical metric on C; 3. Representation of Kempf's distortion function for the Kepler manifold; 4. TYZ expansion for the Kepler manifold; Acknowledgments; References; Kershner's tilings of type 6 by congruent pentagons are not Dirichlet Atsushi KUBOTA and Toshiaki ADACHI; 1. Introduction; 2. Kershner's tilings of type 6; 3. The Dirichlet property of Kershner's tilings of type 6; 4. Tessellations of type 6 by congruent pentagons; References 327 $aEleven classes of almost paracontact manifolds with semi- Riemannian metric of (n + 1, n) Galia NAKOVA and Simeon ZAMKOVOY 330 $aThis volume contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications. These contributions from active specialists in differential geometry provide significant information for research which cover geometric structures, concrete Lie group theory and information geometry. This volume is invaluable not only for researchers in this special area but also for those who are i 606 $aGeometry, Differential$vCongresses 615 0$aGeometry, Differential 676 $a516.36 701 $aAdachi$b Toshiaki$01475586 701 $aHashimoto$b Hideya$01475587 701 $aHristov$b Milen Y$01558284 712 12$aInternational Colloquium on Differential Geometry and its Related Fields 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910778811203321 996 $aRecent progress in differential geometry and its related fields$93822537 997 $aUNINA