Selected papers
Recent
- M.Fecko:
Galilean and Carrollian Hodge star operators
Reports on Mathematical Physics, Volume 93 Number 1 (2024), 19 pages
(also available as arXiv:2206.09788 [math-ph])
- M.Fecko:
Some useful operators on differential forms in Galilean and Carrollian spacetimes
SIGMA 19 (2023), 024, 24 pages
(also available as arxiv:2206.11138 [math-ph])
- M.Fecko:
Vektorová analýza v dvoch rozmeroch
Kvaternion, 1-2, 19–30, (2021), in Slovak (12 pages)
(also available as
Vector calculus in two-dimensional space in English)
arxiv math.HO (2022) (14 pages)
- M.Fecko:
Integral invariants (Poincaré-Cartan) and hydrodynamics
Geometric Methods in Physics.
VI School 2017
Trends in Mathematics, 377–382, (2019) (6 pages)
- M.Fecko:
Surfaces which behave like vortex lines
Geometric Methods in Physics.
XXXVI Workshop 2017
Trends in Mathematics, 223–228, (2019) (6 pages)
- M.Fecko:
Nambu Mechanics: Symmetries and Conserved Quantities
Geometric Methods in Physics.
XXXV Workshop 2016
Trends in Mathematics, 27–33, (2018) (7 pages)
- M.Fecko:
A generalization of vortex lines
Journal of Geometry and Physics 124 (2018) 64–73 (10 pages)
(also available online
here
and
here)
- M.Fecko:
Modern geometry in not-so-high echelons of physics: Case studies
Acta Physica Slovaca 63, No.5, 261 – 359 (2013) (99 pages)
(also available online here)
- M.Fecko:
On symmetries and conserved quantities in Nambu mechanics
Journal of Mathematical Physics 54, 102901 (2013) (9 pages)
- M.Fecko:
On p-form vortex-lines equations on extended phase space
arxiv math-ph (2013) (4 pages)
Some older ones
- M.Fecko:
On 3+1 decompositions with respect to an observer field via differential forms
Journal of Mathematical Physics 38, 4542 - 4560 (1997) (19 pages)
- M.Fecko:
Gauge-potential approach to the kinematics of a moving car
Il Nuovo Cimento 111B, 1315 - 1332 (1996) (18 pages)
- M.Fecko:
‘‘Falling cat’’ connections and the momentum map
Journal of Mathematical Physics 36, 6709 - 6719 (1995) (11 pages)
- M.Fecko:
Transformation of the solutions of the Maxwell equations on a Lorentzian
manifold by means of a certain class of diffeomorphisms
Journal of Mathematical Physics 36, 1198 - 1207 (1995) (10 pages)
- M.Fecko:
Newton's pail in Einstein's lift
American Journal of Physics 62, 258 - 259 (1994) (2 pages)
- M.Fecko:
On a variational principle for the Nambu dynamics
Journal of Mathematical Physics 33, 930 - 933 (1992) (4 pages)
- M.Fecko:
On a geometrical formulation of the Nambu dynamics
Journal of Mathematical Physics 33, 926 - 929 (1992) (4 pages)
- M.Fecko:
A representation of SO(p+q,p+q) on SO(p,q)
Journal of Mathematical Physics 29, 1079 - 1082 (1988) (4 pages)
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