CONTENTS; Preface; Organizing and Scientific Advisory Committees; Presentations; Homogeneous Einstein metrics on complex Stiefel manifolds and special unitary groups; 1. Introduction; 2. The Ricci tensor for reductive homogeneous spaces; 3. A decomposition of su(m+ n); 4. The Ricci tensor for the Stiefel manifolds VmCm+n; 5. New invariant Einstein metrics on VmCm+n; 6. The compact Lie group SU(m+ n); 7. Naturally reductive metrics on the compact Lie group SU(m+ n); 8. New invariant Einstein metrics on SU(m+ n); Acknowledgments
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2. Basics on mixed Hodge structures; 3. Differential graded algebras and Sullivan's 1-minimal models; 4. Morgan's mixed Hodge diagrams; 5. R-mixed Hodge structures and Kahler metrics; References; F-geodesics on the cotangent bundle of a Weyl manifold; 1. Introduction; 2. Geometric objects on cotangent bundle; 3. Weyl connection; 4. F-geodesics; Acknowledgment; References; The geometry of orbits of Hermann type actions; 1. Introduction; 2. The geometry of orbits of Hermann type actions; References
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5. Expansions and embouchure angles for trajectory-horns; References; Null curves on the unit tangent bundle of a two-dimensional Kahler-Norden manifold; 1. Introduction; 2. Preliminaries; 3. Null curves on the unit tangent bundle of a two-dimensional Kahler-Norden manifold; 4. Cartan framed null curves with respect to the original parameter on the unit tangent bundle with a unit timelike normal vector field of a two-dimensional Kahler-Norden manifold; 5. Examples of null curves and Legendre null curves of first type on (U(TR2), Îℓ, η, g'); References
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Fundamental relationship between Cartan imbeddings of Type A and Hopf fibrations; 1. Introduction; 2. Symmetric spaces of Type A and Cartan imbeddings; 3. Cartan imbeddings of SU(2) and a Hopf fibration; 4. Non-flat totally geodesic surfaces in symmetric spaces of Type A and Cartan imbeddings; References; A study on trajectory-horns for Kahler magnetic fields; 1. Introduction; 2. Trajectory-horns; 3. Trajectory-horns on complex space forms; 4. Tube-lengths and tube-cosines for trajectory-horns
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References; Geodesics of Riemannian symmetric spaces included in reflective submanifolds; 1. Introduction; 2. Weighted Dynkin diagrams and Satake diagrams; 2.1. Labelled Dynkin diagrams and weighted Dynkin diagrams; 2.2. Satake diagrams; 2.3. Weighted Dynkin diagrams matching Satake diagrams; 3. Main results; 3.1. G-conjugacy classes of geodesics in Riemannian symmetric spaces; 3.2. Geodesics included in reflective submanifolds; 4. Applications; References; A differential geometric viewpoint of mixed Hodge structures; 1. Introduction
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SUMMARY OR ABSTRACT
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"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."--Publisher's website.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
MIL
Stock Number
1040380
OTHER EDITION IN ANOTHER MEDIUM
Title
Contemporary perspectives in differential geometry and its related fields.
International Standard Book Number
9789813220904
TOPICAL NAME USED AS SUBJECT
Geometry, Differential, Congresses.
Geometry, Differential.
MATHEMATICS-- Geometry-- General.
(SUBJECT CATEGORY (Provisional
MAT-- 012000
DEWEY DECIMAL CLASSIFICATION
Number
516
.
36
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA641
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Adachi, Toshiaki
Hashimoto, Hideya
Hristov, Milen J.
CORPORATE BODY NAME - PRIMARY RESPONSIBILITY
International Colloquium on Differential Geometry and its Related Fields(5th :2016 :, Veliko Tarnovo, Bulgaria)