Publications
W. Domitrz, M. Zubilewicz, Bi-Lagrangian structures and the space of rays, 2024 Journal of Physics A: Mathematical and Theoretical 57(2024), 335202 https://doi.org/10.1088/1751-8121/ad65a4 Link to the article
W. Domitrz, L. I. Hernández-Martínez F. Sánchez-Bringas, On Singularities of the Gauss Map Components of Surfaces in R^4, The Journal of Geometric Analysis (2024) 34:168. https://doi.org/10.1007/s12220-024-01616-7 Link to the article
W. Domitrz, M. Zubilewicz, Local invariants of divergence-free webs, Anal.Math.Phys. 13, 4 (2023). https://doi.org/10.1007/s13324-022-00762-x Link to the article
W. Domitrz, M. Zwierzyński, The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs, Anal.Math.Phys. 12, 7 (2022). https://doi.org/10.1007/s13324-021-00617-x Link to the article
W. Domitrz, M. C. Romero Fuster, M. Zwierzyński, The Geometry of the Secant Caustic
of a Planar Curve,
Differential Geometry and its Applications 78 (2021), 101797. https://doi.org/10.1016/j.difgeo.2021.101797 Link to the article
W. Domitrz, P. Mormul, P. Pragacz, Order of Tangency Between Manifolds,
In: Hu J., Li C., Mihalcea L.C. (eds) Schubert Calculus and Its Applications in Combinatorics and Representation Theory. ICTSC 2017.
Springer Proceedings in Mathematics & Statistics, vol 332. Springer, Singapore. https://doi.org/10.1007/978-981-15-7451-1_3 Link to the article
M. Craizer, W. Domitrz, P. de M. Rios, Singular improper affine spheres from a given Lagrangian submanifold,
Advances in Mathematics 374(2020), 107326. https://doi.org/10.1016/j.aim.2020.107326 Link to the article
W. Domitrz, M. Zwierzyński, The Gauss–Bonnet Theorem for Coherent Tangent Bundles over Surfaces with Boundary and Its Applications,
J Geom Anal 30, 3243–3274 (2020). https://doi.org/10.1007/s12220-019-00197-0 Link to the article
W. Domitrz, M. Zwierzyński, Singular Points of the Wigner Caustic and Affine Equidistants of Planar Curves,
Bull Braz Math Soc, New Series 51, 11–26 (2020). https://doi.org/10.1007/s00574-019-00141-4 Link to the article
F. Assunçăo de Brito Lira, W. Domitrz, R. Wik Atique, Symplectic Singularity of Curves with Semigroups (4, 5, 6, 7), (4, 5, 6) and (4, 5, 7),
Bull Braz Math Soc, New Series (2019) 50(2), pp. 347–371. https://doi.org/10.1007/s00574-018-0102-z Link to the article
F. Assunçăo de Brito Lira, W. Domitrz, R. Wik Atique, Classification of transversal Lagrangian stars ,
Topology and its Applications 235(2018), pp. 352–367 .pdf
W. Domitrz, On local invariants of singular symplectic forms ,
Journal of Geometry and Physics, 114 (2017), pp. 607 - 620. .pdf
W. Domitrz, S. Janeczko , P. de M. Rios, M. A. S. Ruas, Singularities of affine equidistants: extrinsic geometry of surfaces in 4-space ,
Bulletin of the Brazilian Mathematical Society, 47(4) (2016), pp. 1155 - 1179..pdf
M. Craizer, W. Domitrz, P. de M. Rios, Even Dimensional Improper Affine Spheres ,
J. Math. Anal. Appl. 421 (2015), pp. 1803–1826 http:/dx.doi.org/10.1016/j.jmaa.2014.08.028 .pdf
W. Domitrz, P. de M. Rios, M. A. S. Ruas, Singularities of affine equidistants: projections and contacts ,
J. Singul. 10 (2014), 67–81..pdf
W. Domitrz, Pedro de M. Rios, Singularities of equidistants and Global Centre Symmetry sets
of Lagrangian submanifolds,
Geom. Dedicata 169 (2014), pp. 361-382.pdf
W. Domitrz, S. Janeczko, M. Zhitomirskii, Generic singularities of symplectic and quasi-symplectic immersions,
Mathematical Proceedings of the Cambridge Philosophical
Society, 155 (2013), pp. 317-329
doi:10.1017/S0305004113000315 Link to this article.pdf
W. Domitrz, M. Manoel, P. de M. Rios, The Wigner caustic on shell and singularities of odd functions ,
Journal of Geometry and Physics 71(2013), pp. 58-72..pdf
W. Domitrz, Zero-dimensional symplectic isolated complete intersection singularities ,
Journal of Singularities, Volume 6 (2012), 19-26.pdf
W. Domitrz, Ż. Trębska, Symplectic S_mu singularities,
Real and Complex Singularities, Contemporary Mathematics, vol. 569, Amer. Math. Soc., Providence, RI, 2012, pp. 45-65..pdf
W. Domitrz, Ż. Trębska, Symplectic T_7, T_8 singularities and Lagrangian tangency orders,
Proceedings of the Edinburgh Mathematical Society, vol. 55 (2012), pp. 657 - 683.pdf
W. Domitrz, Local symplectic algebra of quasi-homogeneous curves,
Fundamenta Mathematicae 204(2009), 57-86.pdf
W. Domitrz, J. H. Rieger, Volume preserving subgroups of A and K and singularities in unimodular geometry,
Math. Ann. (2009) 345:783–817 .pdf The original publication is available at
www.springerlink.com
W. Domitrz, Reductions of locally conformal symplectic structures and
de Rham cohomology tangent to a foliation,
Banach Center Publications, vol. 82 (2008), 45-53.pdf
W. Domitrz, S. Janeczko, M. Zhitomirskii, Symplectic singularities of varietes: the method of algebraic restrictions,
Journal für die reine und angewandte Mathematik 618(2008), 197-235.pdf
W. Domitrz, J. H. Rieger, Volume-preserving diffeomorphisms on varietes and A_Omega-equivalence of maps,
preprint.ps .pdf
W. Domitrz, On local reduction theorems for singular symplectic forms on a 4-dimensional manifold,
Singularity Theory, Proceedings of the 2005 Marseille Singularity School and Conference Conference,
Dedicated to Jean-Paul Brasselet on his 60th birthday, World Scientific 2007, 487-501. .ps .pdf
W. Domitrz, S. Janeczko, M. Zhitomirskii, Relative Poincare lemma,
contractibility, quasi-homogeneity and vector fields tangent to a singular
variety, Illinois Journal of Mathematics, vol. 48, number 3, Fall 2004, 803-835. .ps .pdf
W. Domitrz, Remarks on non-local invariants of Martinet's singular
symplectic structures, Geometric Singularity Theory, Banach Center
Publications, vol. 65(2004), 15-21..pdf
W. Domitrz, S. Janeczko, Z. Pasternak-Winiarski, Geometry and
representation of the singular symplectic forms, Geometry and Topology of
Caustics - Caustics'02, Banach Center Publications, vol. 62(2004), 57-71. .pdf
W. Domitrz, On local structural stability of differential 1-forms and
nonlinear hypersurface systems on a manifold with boundary, Math. Control
Signals Systems (2001) 14:338-357. .pdf
W. Domitrz, On local stability of differential (n-1)-forms on an
n-dimensional manifold with boundary, Rendiconti del Circolo Matematico di
Palermo, Serie II, suppl. 66 (2001) pp.105-115. .pdf
W. Domitrz, Singularities of differential 1-forms on a manifold with
boundary, Quantization, Coherent states, and Poisson Structures,
Proceedings of the XIVth Workshop on Geometric Methods in Physics,
PWN, Warsaw (1998), 227-232.
W. Domitrz, S. Janeczko, Equivalence of lagrangian germs in the
presence of a surface, Symplectic Singularities and Geometry of Gauge
Fields, Banach Center Publications, vol. 39 (1997), 31-37..pdf
W. Domitrz, S. Janeczko, On Martinet's singular symplectic
structures, Singularities and Differential Equations, Banach Center
Publications, vol. 33 (1996), 51-59..pdf
W. Domitrz, Classification of differential (n-1)-forms on an
n-dimensional manifold with boundary, New Developments in Differential
Geometry, Proceedings of the Colloquium on Differential Geometry, Debrecen
1994, Hungary, July 26-30, 1994, Kluwer Academic Publisher, Mathematics and
its Applications 350 (1996).
W. Domitrz, S. Janeczko, Normal forms of symplectic structures on the
stratified spaces, Colloquium Mathematicum, vol. LXVIII (1995), fasc. 1,
101-119..pdf
W. Domitrz, W. Sasin, On the dimension of the tangent differential
space, Demonstratio Mathematica, vol. XXIV (1991), 3-4, 677-685. https://doi.org/10.1515/dema-1991-3-417 Link to the article
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