Eduard Čech Institute
for Algebra, Geometry and Mathematical Physics,
research group in Opava

A group of researchers at the Mathematical Institute in Opava has obtained a significant support from the interuniversitary project Eduard Čech Institute for Algebra, Geometry and Mathematical Physics funded by the Grant Agency of the Czech Republic.

People

• Petr Blaschke
• Miroslav Engliš
• Michal Marvan
• Giovanni Moreno (March 2012 – August 31, 2014)
• Artur Sergyeyev

Seminars of interest

• Seminar on mathematical analysis
• Seminar on differential geometry and its applications

Preprints and publications

• P. Blaschke: Asymptotic analysis via calculus of hypergeometric functions, J.Math. Anal. Appl., 2016, 433, 2, 1790-1820. [journal]
• P. Blaschke: Pedal coordinates, dark Kepler, and other force problems, J. Math. Phys., 2017, 58, 063505. [journal arXiv]
• M. Blaschke, Z. Stuchlík, F. Blaschke, P. Blaschke: Classical corrections to black hole entropy in \(d\) dimensions: A rear window to quantum gravity?, Phys. Rev. D 2017, 96, 104012. [journal arXiv]
• M. Englis, H. Xu: Forelli–Rudin construction and asymptotic expansion of Szegö kernel on Reinhardt domains, Osaka J. Math., 2015, 52, 905-929. [journal]
• M. Englis, B. Iochum, K.Falk: Spectral triples and Toeplitz operators, J.Noncomm. Geom., 2015, 9, 1041-1076. [journal arXiv]
• A. Hlavac, M. Marvan: Nonlocal conservation laws of the constant astigmatism equation, J. Geom. Phys., 2017, 113, 117-130. [journal arXiv]
• S. Igonin, M. Marvan: On construction of symmetries and recursion operators from zero-curvature representations and the Darboux–Egoroff system, J.Geom.Phys. 85 (2014), 106-123. [journal arXiv]
• M. Marvan, M. V. Pavlov: A new class of solutions for the multi-component extended Harry Dym equation, Wave Motion, Wave Motion, 2017, 74, 151-158. [journal arXiv]
• G. Moreno: The geometry of the space of Cauchy data of nonlinear PDEs, Cent. Eur. J. Math. 11, 2013, 1960-1981. [journal arXiv]
• G. Moreno, M. E. Stypa: Natural boundary conditions in geometric calculus of variations, Math. Slovaca. [arXiv]
• G. Moreno: On the canonical connection for smooth envelopes, Demonstratio Math., 2014, 47. [arXiv]
• G. Moreno, M. E. Stypa: On the vertex-to-edge duality between the Cayley graph and the coset geometry of von Dyck groups, Math. Slovaca. [arXiv]
• M. Bachtold, G. Moreno: Remarks on non-maximal integral elements of the Cartan plane in jet spaces, J. Geom. Phys. 85 (2014), 185-195. [journal arXiv]
• G. I. Burde, A. Sergyeyev: Ordering of two small parameters in the shallow water wave problem, J. Phys. A: Math. Theor. 46 (2013), 075501 [journal arXiv]
• M. Blaszak, A. Sergyeyev: Dispersionless (3+1)-dimensional integrable hierarchies, Proc. Royal Soci. A, 2017, 473, 20160857. [journal arXiv]
• I. S. Krasilshchik, A. Sergyeyev, I. I. Morozov: Infinitely many nonlocal conservation laws for the ABC equation with A+B+C≠0, Calc. Var. Partial Differential Equations 55 (2016), no. 5, Art. 123, 12 pp. [journal arXiv]
• O. I. Morozov, A. Sergyeyev: The four-dimensional Martínez Alonso–Shabat equation: reductions and nonlocal symmetries, J. Geom. Phys. 85 (2014), 40-45. [journal arXiv]
• A. Sergyeyev: A simple construction of recursion operators for multidimensional dispersionless integrable systems, J. Math. Anal. Appl., 2017, 454, 468-480. [journal arXiv]
• A. Sergyeyev, R. Vitolo: Symmetries and conservation laws for the Karczewska–Rozmej–Rutkowski–Infeld equation, Nonlinear Anal. Real World Appl. 32 (2016), 1–9. [journal arXiv]