Found 73 Documents (Results 1–73)
Nijenhuis geometry IV: conservation laws, symmetries and integration of certain non-diagonalisable systems of hydrodynamic type in quadratures. (English) Zbl 07909992
Cohomology and formal deformations of \(n\)-Hom-Lie color algebras. (English) Zbl 1543.17024
Ukr. Math. J. 75, No. 9, 1313-1339 (2024); and Ukr. Mat. Zh. 75, No. 9, 1155-1177 (2023).
Reviewer: Rosendo García (Guanajuato)
Nijenhuis geometry. III: \(\mathrm{gl}\)-regular Nijenhuis operators. (English) Zbl 1542.53032
Reviewer: Fernando Etayo Gordejuela (Santander)
When a \((1,1)\)-tensor generates separation of variables of a certain metric. (English) Zbl 1535.37072
Reviewer: William J. Satzer Jr. (St. Paul)
Webs, Nijenhuis operators, and heavenly PDEs. (English) Zbl 07763674
MSC:
83-XX
BiHom-NS-algebras, twisted Rota-Baxter operators and generalized Nijenhuis operators. (English) Zbl 1541.17015
Reviewer: Hirokazu Nishimura (Tsukuba)
Super Kupershmidt operators and Kupershmidt-Nijenhuis structures on Malcev superalgebras. (English) Zbl 1531.17022
On quadri-bialgebras. (English) Zbl 1529.16034
Du, Jie (ed.) et al., Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao’s birth. East China Normal University Scientific Reports 16. Subseries of Symposia and Topic Studies. Singapore: World Scientific. 75-108 (2023).
The \(\mathcal{O} N\)-structure on bimodules over associative conformal algebras. (English) Zbl 07681735
1-parameter formal deformations, Nijenhuis operators and abelian extensions of \(\delta\)-Lie color triple systems. (English) Zbl 07662877
Reviewer: Tiago Macedo (São Paulo)
Applications of Nijenhuis geometry. IV: Multicomponent KdV and Camassa-Holm equations. (English) Zbl 1517.37067
Cohomologies and relative Rota-Baxter-Nijenhuis structures of 3-LieRep pairs. (English) Zbl 1529.17006
Applications of Nijenhuis geometry: non-degenerate singular points of Poisson-Nijenhuis structures. (English) Zbl 1515.37054
Reviewer: Liviu Popescu (Craiova)
Singularities of two-dimensional Nijenhuis operators. (English) Zbl 1511.53035
Reviewer: Tihomir Valchev (Sofia)
Cohomology and deformations of \(\mathcal{O}\)-operators on Hom-associative algebras. (English) Zbl 1501.16007
Reviewer: Angela Gammella-Mathieu (Metz)
Deformation of Kupershmidt operators and Kupershmidt-Nijenhuis structures of a Malcev algebra. (English) Zbl 1499.17020
Nijenhuis operators on Hom-Lie algebras. (English) Zbl 1503.17024
Reviewer: García Rosendo (Guanajuato)
Nijenhuis operators on 3-Hom-L-dendriform algebras. (English) Zbl 1484.17003
Reviewer: Yin Chen (Changchun)
Rota-type operators on 3-dimensional nilpotent associative algebras. (English) Zbl 1501.16034
Reviewer: Houyi Yu (Chongqing)
Nijenhuis operators, product structures and complex structures on Lie-Yamaguti algebras. (English) Zbl 1482.17048
Reviewer: Alberto Elduque (Zaragoza)
Affine connections with torsion in (para-)complexified structures. (English) Zbl 1483.53052
Nielsen, Frank (ed.), Progress in information geometry. Theory and applications. Based on discussions of the fourth international conference on geometric science of information, GSI’2019, Toulouse, France, August 27–29, 2019. Cham: Springer. Signals Commun. Technol., 37-56 (2021).
Reviewer: Yun Myung Oh (Berrien Springs)
Linear deformations and abelian extensions of Lie supertriple systems. (Chinese. English summary) Zbl 1488.17021
Kupershmidt-(dual-)Nijenhuis structure on the alternative algebra with a representation. (English) Zbl 1492.16037
Nijenhuis geometry. II: Left-symmetric algebras and linearization problem for Nijenhuis operators. (English) Zbl 1477.17105
Cohomology and Nijenhuis operators of Lie supertriple systems. (Chinese. English summary) Zbl 1463.17008
Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on \(\operatorname{gl}(n)\). (English. Russian original) Zbl 1501.17026
Sb. Math. 211, No. 4, 583-593 (2020); translation from Mat. Sb. 211, No. 4, 112-122 (2020).
Reviewer: Yarema Prykarpatskyy (Kraków)
Rota-type operators on null-filiform associative algebras. (English) Zbl 1464.16039
Reviewer: Yu Houyi (Chongqing)
Beyond recursion operators. (English) Zbl 1426.53001
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 167-180 (2019).
Recursion operator in a noncommutative Minkowski phase space. (English) Zbl 1423.37051
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 83-93 (2019).
Rational recursion operators for integrable differential-difference equations. (English) Zbl 1422.39049
Reviewer: Eszter Gselmann (Debrecen)
Nijenhuis operators of Hom Lie triple systems. (Chinese. English summary) Zbl 1424.17010
Cosymplectic-Nijenhuis structures on Lie groupoids. (English) Zbl 1359.53065
Grabowska, Katarzyna (ed.) et al., Geometry of jets and fields. Selected papers based on the presentations at the workshop, Będlewo, Poland, May 10–16, 2015. In honour of Professor Janusz Grabowski on the occasion of his 60th birthday. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-34-8/pbk). Banach Center Publications 110, 295-307 (2016).
Nijenhuis operator in contact homology and descendant recursion in symplectic field theory. (English) Zbl 1364.53083
Akbulut, Selman (ed.) et al., Proceedings of the 21st Gökova geometry-topology conference, Gökova, Turkey, May 26-30, 2014. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT) (ISBN 978-1-57146-307-4/pbk). 156-191 (2015).
Reviewer: Alexander Felshtyn (Szczecin)
Natural operators on tensor fields. (English. Russian original) Zbl 1311.53011
Mosc. Univ. Math. Bull. 69, No. 5, 225-228 (2014); translation from Vestn. Mosk. Univ., Ser I 69, No. 5, 58-62 (2014).
Erratum to: “On operators associated with tensor fields”. (English) Zbl 1229.53013
Reviewer: Hans Havlicek (Wien)
On operators associated with tensor fields. (English) Zbl 1229.53012
J. Geom. 99, No. 1-2, 107-145 (2010); erratum ibid. 99, No. 1-2, 179-181 (2010).
Reviewer: Hans Havlicek (Wien)
Spectral properties of Hodge-de Rham like operators associated to a smooth \((1;1)\)-tensor field and harmonic theory. (English) Zbl 1224.58020
Extension of integrable equations. (English) Zbl 1180.37100
MSC:
37K10
Integrable systems in symplectic geometry. (English) Zbl 1166.37025
Reviewer: Alexey Remizov (Trieste)
Properties of the eigenvalues of \(h\)-dependent Hodge-de Rham operators. (English) Zbl 1240.58016
MSC:
58J10
Deformations of Jacobi bialgebroids. (Chinese. English summary) Zbl 1210.53077
MSC:
53D17
Bidifferential calculi, bicomplex structure and its application to bihamiltonian systems. (English) Zbl 1134.37354
Lie algebroid generalization of geometric mechanics. (English) Zbl 1009.70014
Kubarski, Jan (ed.) et al., Lie algebroids and related topics in differential geometry. Proceedings of the conference, Warsaw, Poland, June 12-18, 2000. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 54, 201-215 (2001).
Reviewer: Manuel de León (Madrid)
First and second cohomology space of the Lie algebra of differential operators on a manifold with coefficients in the space of functions. (Premier et deuxième espaces de cohomologie de l’algèbre de Lie des opérateurs différentiels sur une variété, à coefficients dans les fonctions.) (French) Zbl 0971.17011
Reviewer: Jan Kubarski (Łódź)
Third cohomology space of the Lie algebra of differential operators on a manifold with coefficients in the space of functions. (Troisième espace de cohomologie de l’algèbre de Lie des opérateurs différentiels sur une variété, à coefficients dans les fonctions.) (French) Zbl 0971.17012
Reviewer: Jan Kubarski (Łódź)
Non-holonomic filtration: Algebraic and geometric aspects of non-integrability. (English) Zbl 0889.58071
Pràstaro, A. (ed.) et al., Geometry in partial differential equations. Singapore: World Scientific. 189-214 (1994).
Reviewer: M.Marvan (Opava)
Nonlinear connections and the problem of metrizability. (English) Zbl 0799.53031
Reviewer: R.Miron (Iaşi)
On a covariant constant vector 1-form. (English) Zbl 0738.53004
Reviewer: Gh.Pitiş (Braşov)
MSC:
53A45
Remarks on the Nijenhuis tensor and almost complex connections. (English) Zbl 0738.53014
Reviewer: L.Tamássy (Debrecen)
Remarks on the Schouten-Nijenhuis bracket. (English) Zbl 0646.53013
Geometry and physics, Proc. Winter Sch., Srnî/Czech. 1987, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 16, 207-215 (1987).
Reviewer: I.Kolář
MSC:
53A55
\(\Lambda\)-cohomologie et opérateur de récursion. (\(\Lambda\)- cohomology and recursion operators). (French) Zbl 0639.58017
Reviewer: A.Givental’
Bi-Hamiltonian structure and invariant endomorphism for rigid body dynamics. (English) Zbl 0612.70014
Reviewer: T.Ratiu
Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications. (English) Zbl 0602.58017
Reviewer: A.Pelczar
Geometry of systems of differential equations. II: Contravariant theory of differential extension. (English. Russian original) Zbl 0503.58036
Lith. Math. J. 21, 277-288 (1982); translation from Lit. Mat. Sb. 21, No. 4, 19-34 (1981).
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