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E-grāmata: Differential Geometry And Its Applications - Proceedings Of The 10th International Conference On Dga2007

Edited by (Charles Univ, Czech Republic), Edited by (Eth Zurich, Switzerland), Edited by (Masaryk Univ In Brno, Czech Republic), Edited by (Lepage Research Inst, Slovakia)
  • Formāts: 732 pages
  • Izdošanas datums: 14-Jul-2008
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • Valoda: eng
  • ISBN-13: 9789814471947
  • Formāts - PDF+DRM
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  • Formāts: 732 pages
  • Izdošanas datums: 14-Jul-2008
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • Valoda: eng
  • ISBN-13: 9789814471947

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This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.The book covers recent developments and the latest results in the following fields: Riemannian geometry, connections, jets, differential invariants, the calculus of variations on manifolds, differential equations, Finsler structures, and geometric methods in physics. It is also a celebration of the 300th anniversary of the birth of one of the greatest mathematicians, Leonhard Euler, and includes the Euler lecture Leonhard Euler 300 years on by R Wilson. Notable contributors include J F Carińena, M Castrillón López, J Erichhorn, J-H Eschenburg, I Kolį, A P Kopylov, J Korba, O Kowalski, B Kruglikov, D Krupka, O Krupkovį, R Léandre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Muńoz Masqué, S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slovįk, J Szilasi, L Tamįssy, P Walczak, and others.
Preface v
Acknowledgments vii
Leonhard Euler - 300 Years On
1(10)
R. Wilson
Part 1 Riemannian geometry, submanifolds
11(204)
Curvature logarithmic derivatives of curves and isometric immersions
13(10)
T. Adachi
Global behaviour of maximal surfaces in Lorentzian product spaces
23(12)
A.L. Albujer
Invariant Einstein metrics on certain Stiefel manifolds
35(10)
A. Arvanitoyeorgos
V.V. Dzhepko
Yu. G. Nikonorov
Constant mean curvature submanifolds in (α,β)---Finsler spaces
45(12)
V. Balan
Generalized Einstein manifolds
57(8)
C.-L. Bejan
T.Q. Binh
Canonical almost geodesic mappings of type π~1 onto pseudo Riemannian manifolds
65(12)
V.E. Berezouski
J. Mikes
A. Vanzurova
On minimal hypersurfaces of hyperbolic space H4 with zero Gauss-Kronecker curvature
77(12)
U. Dursun
Structure of geodesics in the flag manifold SO(7)/U(3)
89(10)
Z. Dusek
Global properties of the Ricci flow on open manifolds
99(20)
J. Eichhorn
Gauss maps and symmetric spaces
119(14)
J.-H. Eschenburg
Ricci flow on almost flat manifolds
133(14)
G. Guzhvina
Compact minimal CR submanifolds of a complex projective space with positive Ricci curvature
147(10)
M. Kon
Unique determination of domains
157(14)
A.P. Kopylov
Invariance of g-natural metrics on tangent bundles
171(12)
O. Kowalski
M. Sekizawa
Some variational problems in geometry of submanifolds
183(14)
H. Li
Generalized Veronese manifolds and isotropic immersions
197(6)
S. Maeda
S. Udagawa
Integral formulae for foliations on Riemannian manifolds
203(12)
V. Rovenski
P. Walczak
Part 2 Geometric structures
215(168)
The prequantization of T1kRn
217(6)
A.M. Blaga
Extension of connections
223(16)
M. Doupovec
W. M. Mikulski
Conformally-projectively flat statistical structures on tangent bundles over statistical manifolds
239(14)
I. Hasegawa
K. Yamauchi
Morphisms of almost product projective geometries
253(10)
J. Hrdina
J. Slovak
Flows of Spin (7)-structures
263(16)
S. Karigiannis
Connections on principal prolongations of principal bundles
279(14)
I. Kolar
The (k,μ, v)-contact metric manifolds and their classification in the 3-dimensional case
293(12)
Th. Koufogiorgos
M. Markellos
V.J. Papantoniou
Invariants and submanifolds in almost complex geometry
305(12)
B. Kruglikov
Hirzebruch signature operator for transitive Lie algebroids
317(12)
J. Kubarski
Quadratic Nambu-Poisson structures
329(10)
N. Nakanishi
Bochner-Kaehler metrics and connections of Ricci type
339(14)
M. Panak
L.J. Schwachhofer
Special n-forms on a 2n-dimensional vector space
353(18)
J. Vanzura
Symmetries of almost Grassmannian geometries
371(12)
L. Zalabova
Part 3 Global analysis
383(188)
Zeta regularized integral and Fourier expansion of functions on an infinite dimensional torus
385(12)
A. Asada
On the direction independence of two remarkable Finsler tensors
397(10)
S. Bacso
Z. Szilasi
Lie systems and integrability conditions of differential equations and some of its applications
407(12)
J.F. Carinena
J. de Lucas
Transverse Poisson structures: The subregular and minimal orbits
419(12)
P.A. Damianou
H. Sabourin
P. Vanhaecke
On first-order differential invariants of the non-conjugate subgroups of the Poincare group P(1,4)
431(14)
V.M. Fedorchuk
V.I. Fedorchuk
On the flag curvature of the dual of Finsler metric
445(10)
D. Hrimiuc
A note on the height of the canonical Stiefel-Whitney classes of the oriented Grassmann manifolds
455(8)
J. Korbas
Differential invariants of velocities and higher order Grassmann bundles
463(12)
D. Krupka
Z. Urban
Like jet prolongation functors of affine bundles
475(14)
J. Kurek
W.M. Mikulski
Two analytical Goodwillie's theorems
489(12)
R. Leandre
De Rham like cohomology of geometric structures
501(14)
M.A. Malakhaltsev
Submanifolds in pseudo-Euclidean spaces and Dubrovin Frobenius structures
515(12)
O.I. Mokhov
The Cartan form, 20 years on
527(12)
D.J. Saunders
Calculus along the tangent bundle projection and projective metrizability
539(20)
J. Szilasi
Distance functions of Finsler spaces and distance spaces
559(12)
L. Tamassy
Part 4 Geometric methods in physics
571(142)
Differential forms relating twistors to Dirac fields
573(8)
I.M. Benn
J.M. Kress
The gravitational field of the Robertson-Walker spacetime
581(14)
W. Borgiel
Lie algebra pairing and the Lagrangian and Hamiltonian equations in gauge-invariant problems
595(8)
M. Castrillon Lopez
J. Munoz Masque
Non-holonomic constraint forces in field theory in physics
603(12)
L. Czudkova
J. Musilova
On a generalization of the Dirac bracket in the De DonderWey1 Hamiltonian formalism
615(12)
I. Kantchikov
Constrained Lepage forms
627(8)
O. Krupkova
J. Volna
P. Volny
Variationality of geodesic circles in two dimensions
635(8)
R. Ya. Matsyuk
Noether identities in Einstein-Dirac theory and the Lie derivative of spinor fields
643(12)
M. Palese
E. Winterroth
Hilbert-Yang-Mills functional: Examples
655(10)
A. Patak
Hamiltonian formalism on Lie algebroids and its applications
665(10)
L. Popescu
Variational theory of balance systems
675(14)
S. Preston
Constraint Lepage one forms in higher order mechanics with nonholonomic constraints on the dynamical space
689(14)
M. Swaczyna
A connection-theoretic approach to the analysis of symmetries of nonholonomic field theories
703(10)
J. Vankerschaver
List of Participants 713(4)
Previous DGA Conference Proceedings 717