Nijenhuis geometry
From MaRDI portal
Publication:2064460
DOI10.1016/j.aim.2021.108001zbMath1493.53039arXiv1903.04603OpenAlexW2996364632MaRDI QIDQ2064460
Andrey Yu. Konyaev, Alexei V. Bolsinov, Vladimir S. Matveev
Publication date: 6 January 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.04603
Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)
Related Items
Quantum integrability for the Beltrami-Laplace operators of projectively equivalent metrics of arbitrary signatures ⋮ On integrable systems outside Nijenhuis and Haantjes geometry ⋮ Webs, Nijenhuis operators, and heavenly PDEs ⋮ On the linearization of certain singularities of Nijenhuis operators ⋮ Nijenhuis geometry. III: \(\mathrm{gl}\)-regular Nijenhuis operators ⋮ Applications of Nijenhuis geometry. V: Geodesic equivalence and finite-dimensional reductions of integrable quasilinear systems ⋮ When a \((1,1)\)-tensor generates separation of variables of a certain metric ⋮ Nijenhuis operators and associative D-bialgebras ⋮ Symmetric matrices and maximal Nijenhuis pencils;Симметрические матрицы и максимальные нийенхейсовы пучки ⋮ Elementary differential singularities of three-dimensional Nijenhuis operators ⋮ Integrating Nijenhuis structures ⋮ Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures ⋮ Generalized Nijenhuis torsions and block-diagonalization of operator fields ⋮ Almost differentially nondegenerate Nijenhuis operators ⋮ Unnamed Item ⋮ Nijenhuis geometry. II: Left-symmetric algebras and linearization problem for Nijenhuis operators ⋮ Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type ⋮ Singularities of two-dimensional Nijenhuis operators
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The local structure of Poisson manifolds
- Completeness of some commutative subalgebras associated with Nijenhuis operators on Lie algebras
- Singularities of bi-Hamiltonian systems
- Complex analytic coordinates in almost complex manifolds
- Poisson geometry
- Les variétés de Poisson et leurs algèbres de Lie associees
- Simultaneous local classification of two compatible symplectic forms
- Simple left-symmetric algebras with solvable Lie algebra
- Hyperbolic manifolds are geodesically rigid
- Geometrical interpretation of Benenti systems
- Nijenhuis geometry. II: Left-symmetric algebras and linearization problem for Nijenhuis operators
- Hamiltonian operators of Dubrovin-Novikov type in 2D
- Natural operators on tensor fields
- A remark on the Nijenhuis tensor
- Algebraic identities for the Nijenhuis tensors
- Algebraic Nijenhuis operators and Kronecker Poisson pencils
- Left-symmetric algebras, or pre-Lie algebras in geometry and physics
- On the solutions of analytic equations
- Compatible Poisson brackets of hydrodynamic type
- Families of metrics geodesically equivalent to the analogs of the Poisson sphere
- Some remarks on Nijenhuis brackets, formality, and Kähler manifolds
- Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics
- Integrable matrix equations related to pairs of compatible associative algebras
- On projectively equivalent metrics near points of bifurcation
- A simple model of the integrable Hamiltonian equation
- Existence of conservation laws and characterization of recursion operators for completely integrable systems
- Open problems, questions and challenges in finite- dimensional integrable systems
- Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type
- Local normal forms for geodesically equivalent pseudo-Riemannian metrics
- Functions of Matrices
- Mergelyan's Theorem on Uniform Polynomial Approximation.
- ON MATRICES DEPENDING ON PARAMETERS
