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1 Communications in Mathematics 23 (2015) Copyright c 2015 The University of Ostrava 95 Contents of Previous Volumes From the Editor-in-Chief No. 1, Vol. 18 (2010) David Saunders: Some geometric aspects of the calculus of variations in several independent variables Yong-Xin Guo, Chang Liu and Shi-Xing Liu: Generalized Birkhoffian realization of nonholonomic systems Mike Crampin: Homogeneous systems of higher-order ordinary differential equations Survey paper Olga Krupková: Geometric mechanics on nonholonomic submanifolds Geoff Prince: Classical Mechanics: Hamiltonian and Lagrangian Formalism by Alexei Deriglazov No. 1, Vol. 19 (2011) István Pink, Zsolt Rábai: On the diophantine equation x k 17 l = y n Lorenzo Fatibene, Mauro Francaviglia: General theory of Lie derivatives for Lorentz tensors Martin Swaczyna: Several examples of nonholonomic mechanical systems Larry M. Bates, James M. Nester: On D Alembert s Principle Full texts in pdf are available free on-line at
2 96 Jing Zhang, Bingqing Ma: Gradient estimates for a nonlinear equation f u + cu α = 0 on complete noncompact manifolds Tom Mestdag: Geometry of Nonholonomically Constrained Systems by R. Cushman, H. Duistermaat and J. Śniatycki No. 2, Vol. 19 (2011) Geometrical aspects of variational calculus on manifolds Guest Editor: László Kozma Minicourse David J. Saunders: Homogeneous variational problems: a minicourse Lorenzo Fatibene, Mauro Francaviglia, Silvio Mercadante: About Boundary Terms in Higher Order Theories Zoltán Muzsnay, Péter T. Nagy: Tangent Lie algebras to the holonomy group of a Finsler manifold József Szilasi, Anna Tóth: Conformal vector fields on Finsler manifolds Monika Havelková: A geometric analysis of dynamical systems with singular Lagrangians Wlodzimierz M. Tulczyjew: Variational formulations I: Statics of mechanical systems. Jaroslav Dittrich: Mathematical results in quantum physics edited by P. Exner No. 1, Vol. 20 (2012) Guest editor: Marcella Palese L. Fatibene, M. Francaviglia, S. Garruto: Do Barbero-Immirzi connections exist in different dimensions and signatures? M. Francaviglia, M. Palese, E. Winterroth: Locally variational invariant field equations and global currents: Chern-Simons theories Monika Havelková: Symmetries of a dynamical system represented by singular Lagrangians
3 Contents of Previous Volumes 97 Zoltán Muzsnay, Péter T. Nagy: Witt algebra and the curvature of the Heisenberg group Olga Rossi, Jana Musilová: On the inverse variational problem in nonholonomic mechanics David J. Saunders: Projective metrizability in Finsler geometry No. 2, Vol. 20 (2012) Fa-en Wu, Xin-nuan Zhao: A New Variational Characterization Of Compact Conformally Flat 4-Manifolds Florian Luca: On a problem of Bednarek Hemar Godinho, Diego Marques, Alain Togbe: On the Diophantine equation x α 5 β 17 γ = y n Emanuel Lopez, Alberto Molgado, Jose A. Vallejo: The principle of stationary action in the calculus of variations Elisabeth Remm: Associative and Lie deformations of Poisson algebras Alexandru Oană, Mircea Neagu: Distinguished Riemann-Hamilton geometry in the polymomentum electrodynamics No. 1, Vol. 21 (2013) Thomas Friedrich: Cocalibrated G 2 -manifolds with Ricci flat characteristic connection Junchao Wei: Almost Abelian rings Bingqing Ma, Guangyue Huang: Eigenvalue relationships between Laplacians of constant mean curvature hypersurfaces in S n+1 Johannes Schleischitz: Diophantine Approximation and special Liouville numbers Mileva Prvanović: The conformal change of the metric of an almost Hermitian manifold applied to the antiholomorphic curvature tensor
4 98 Johanna Pék: Structure equations on generalized Finsler manifolds No. 2, Vol. 21 (2013) Ross M. Adams, Rory Biggs, Claudiu C. Remsing: Control Systems on the Orthogonal Group SO(4) Tadeusz Pezda: On some issues concerning polynomial cycles Stephen Bruce Sontz: A Reproducing Kernel and Toeplitz Operators in the Quantum Plane Serge Preston: Supplementary balance laws for Cattaneo heat propagation Susil Kumar Jena: Method of infinite ascent applied on (2 p A 6 ) + B 3 = C 2 Erratum No. 1, Vol. 22 (2014) Satish Shukla: Fixed point theorems of G-fuzzy contractions in fuzzy metric spaces endowed with a graph Xuerong Qi, Linfen Cao, Xingxiao Li: New hyper-kähler structures on tangent bundles Benjamin Cahen: Stratonovich-Weyl correspondence for the Jacobi group Florian Luca, Volker Ziegler: A note on the number of S-Diophantine quadruples Albo Carlos Cavalheiro: Existence of entropy solutions for degenerate quasilinear elliptic equations in L 1 Werner Georg Nowak: Lower bounds for simultaneous Diophantine approximation constants Karl Dilcher, Larry Ericksen: Reducibility and irreducibility of Stern (0, 1)-polynomials No. 2, Vol. 22 (2014) Silvestru Sever Dragomir: Bounds for Convex Functions of Čebyšev Functional Via Sonin s Identity with Applications Mikihito Hirabayashi: A determinant formula for the relative class number of an imaginary abelian number field Benjamin Küster: Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra
5 Contents of Previous Volumes 99 Reinhardt Euler, Luis H. Gallardo, Florian Luca: On a binary recurrent sequence of polynomials Michal Čech, Jana Musilová: Symmetries and currents in nonholonomic mechanics Josua Groeger: Super Wilson Loops and Holonomy on Supermanifolds
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