Contemporary perspectives in differential geometry and its related fields : proceedings of the 5th International Colloquium on Differential Geometry and its Related Fields, Veliko Tarnovo, Bulgaria, 6-10 September 2016

This volume contains original papers and announcements of recent results presented by the main participants of the 5th International Colloquium on Differential Geometry and its Related Fields (ICDG2016). These articles are devoted to some new developments on geometric structures on manifolds. Besides covering a broad overview on geometric structures, this volume provides significant information for researchers not only in the field of differential geometry but also in mathematical physics. Since each article is accompanied with detailed explanations, it serves as a good guide for young scientists working in this area. Title Page 4 Copyright 5 Preface 6 List of Presentations 10 Contents 14 Homogeneous Einstein metrics on complex Stiefel manifolds and special unitary groups • Andreas ARVANITOYEORGOS, Yusuke SAKANE and Marina STATHA 16 Geodesics of Riemannian symmetric spaces included in reflective submanifolds • Takayuki OKUDA 36 A differential geometric viewpoint of mixed Hodge structures • Hisashi KASUYA 48 F-geodesics on the cotangent bundle of a Weyl manifold • Cornelia-Livia BEJAN and İlhan GÜL 68 The geometry of orbits of Hermann type actions • Osamu IKAWA 82 Fundamental relationship between Cartan imbeddings of Type A and Hopf fibrations • Hideya HASHIMOTO and Misa OHASHI 94 A study on trajectory-horns for Kähler magnetic fields • Toshiaki ADACHI 110 Null curves on the unit tangent bundle of a two-dimensional Kähler-Norden manifold • Galia NAKOVA 128 Horizontal lifts of curves through a Hopf fibration and some examples of Hopf tori • Yoshitaka FUKADA 146 Homotopy groups of G2/Sp(1) and G2/U(2) • Fuminori NAKATA 166 Sequential structure of statistical manifolds and its divergence geometry • Hiroshi MATSUZOE 176