Variations, geometry and physics, In honour of Demeter by Krupka D., et al. (eds.)

By Krupka D., et al. (eds.)

This e-book is a set of survey articles in a vast box of the geometrical concept of the calculus of diversifications and its functions in research, geometry and physics. it's a commemorative quantity to have fun the sixty-fifth birthday of Professor Krupa, one of many founders of contemporary geometric variational concept, and an incredible contributor to this subject and its functions over the last thirty-five years. the entire authors invited to give a contribution to this quantity have tested excessive reputations of their box. The e-book will completely offer various vital effects, strategies and purposes which are frequently on hand merely through consulting unique papers in lots of assorted journals. it will likely be of curiosity to researchers in variational calculus, mathematical physics and the opposite similar parts of differential equations, common operators and geometric buildings. additionally, it's going to develop into a massive resource of present examine for doctoral scholars and postdoctorals in those fields.

Show description

Read Online or Download Variations, geometry and physics, In honour of Demeter Krupka's 65 birthday PDF

Best geometry books

Geometry for the Classroom

Meant to be used in university classes for potential or in-service secondary college lecturers of geometry. Designed to provide lecturers wide practise within the content material of common geometry in addition to heavily similar themes of a touch extra complex nature. The presentation and the modular structure are designed to include a versatile method for the instructing of geometry, one who may be tailored to varied school room settings.

Basic noncommutative geometry

"Basic Noncommutative Geometry offers an advent to noncommutative geometry and a few of its functions. The e-book can be utilized both as a textbook for a graduate direction at the topic or for self-study. it will likely be priceless for graduate scholars and researchers in arithmetic and theoretical physics and all people who find themselves drawn to gaining an knowing of the topic.

Advances in Architectural Geometry 2014

This publication includes 24 technical papers offered on the fourth version of the Advances in Architectural Geometry convention, AAG 2014, held in London, England, September 2014. It bargains engineers, mathematicians, designers, and contractors perception into the effective layout, research, and manufacture of complicated shapes, in order to aid open up new horizons for structure.

Additional info for Variations, geometry and physics, In honour of Demeter Krupka's 65 birthday

Sample text

The formula for L was obtained in [74] and [75], and is called Tonti–Vainberg Lagrangian. Necessary and sufficient conditions for a dynamical form be locally variational were first studied by Helmholtz for the case of second order ordinary differential equations [30]. Lepage Forms in the Calculus of Variations 45 A generalisation to ordinary differential equations of an arbitrary order is due to Vanderbauwhede [76], and to higher-order partial differential equations to Anderson and Duchamp [3], and Krupka [40, 41].

Kol´aˇr and J. ) Masaryk University, Brno, 1996) 469– 478. [42] F. Takens, A global version of the inverse problem of calculus of variations, J. Diff. Geom. 14 (1979) 543–562. [43] W. M. Tulczyjew, The Euler-Lagrange resolution, In: Differential Geometric Methods in Mathematical Physics (Proc. Internat. , Aix-en-Provence, France, 1979, Lecture Notes in Math. 836, Springer, Berlin, 1980) 22–48. [44] A. M. Vinogradov, On the algebro-geometric foundations of Lagrangian field theory, Soviet. Math. Dokl.

102 (1980) 781–867. [4] A. V. Bocharov, V. N. Chetverikov, S. V. Duzhin, N. G. Khorkova, I. S. Krasilschik, A. V. Samokhin, Yu. N. Thorkov, A. M. Verbovetsky and A. M. Vinogradov, Symmetries and Conservation Laws for Differential Equations of Mathematical Physics ((I. S. Krasilschik and A. M. ) Amer. Math. , 1999). [5] L. Brink, P. di Vecchia and P. Howe, A locally supersymmetric and reparametrization invariant action for the spinning string, Phys. Lett. 65B(5) (1976) 471–474. [6] P. Dedecker, A property of differential forms in calculus of variations, Pac.

Download PDF sample

Rated 4.22 of 5 – based on 50 votes