Search Results - "Manno, Gianni"

The Geometry of Marked Contact Engel Structures by Manno, Gianni, Nurowski, Paweł, Sagerschnig, Katja

“…A contact twisted cubic structure ( M , C , γ ) is a 5-dimensional manifold M together with a contact distribution C and a bundle of twisted cubics γ ⊂ P ( C )…”
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Benenti Tensors: A useful tool in Projective Differential Geometry by Manno, Gianni, Vollmer, Andreas

“…Two metrics are said to be projectively equivalent if they share the same geodesics (viewed as unparametrized curves). The degree of mobility of a metric g is…”
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A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields by Bryant, Robert L., Manno, Gianni, Matveev, Vladimir S.

“…We give a complete list of normal forms for the two-dimensional metrics that admit a transitive Lie pseudogroup of geodesic-preserving transformations and we…”
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On the extendability of parallel sections of linear connections by Di Scala, Antonio J., Manno, Gianni

“…Let π : E → M be a vector bundle over a simply connected manifold, ∇ a linear connection in π , and σ : U → E a ∇ -parallel section of π defined on a connected…”
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Contact manifolds, Lagrangian Grassmannians and PDEs by Eshkobilov, Olimjon, Manno, Gianni, Moreno, Giovanni, Sagerschnig, Katja

“…In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and…”
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3-dimensional Levi-Civita metrics with projective vector fields by Manno, Gianni, Vollmer, Andreas

“…Projective vector fields are the infinitesimal transformations whose local flow preserves geodesics up to reparametrisation. In 1882, Sophus Lie posed the…”
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On Lie algebras responsible for integrability of (1+1)-dimensional scalar evolution PDEs by Igonin, Sergei, Manno, Gianni

“…Zero-curvature representations (ZCRs) are one of the main tools in the theory of integrable PDEs. In [13], for any (1+1)-dimensional scalar evolution…”
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(Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry by Manno, Gianni, Vollmer, Andreas

“…Projective connections arise from equivalence classes of affine connections under the reparametrization of geodesics. They may also be viewed as quotient…”
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Lie algebras responsible for zero-curvature representations of scalar evolution equations by Igonin, Sergei, Manno, Gianni

“…Zero-curvature representations (ZCRs) are one of the main tools in the theory of integrable PDEs. In particular, Lax pairs for (1+1)-dimensional PDEs can be…”
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Hydrodynamic-type systems describing 2-dimensional polynomially integrable geodesic flows by Manno, Gianni, Pavlov, Maxim V.

“…Starting from a homogeneous polynomial in momenta of arbitrary order we extract multi-component hydrodynamic-type systems which describe 2-dimensional geodesic…”
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Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution by Gutt, Jan, Manno, Gianni, Moreno, Giovanni

“…By studying the development of shock waves out of discontinuity waves, in 1954 P. Lax discovered a class of PDEs, which he called “completely exceptional”,…”
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Meta-Symplectic Geometry of 3 rd Order Monge-Ampère Equations and their Characteristics by Manno, Gianni, Moreno, Giovanni

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Meta-Symplectic Geometry of [...] Order Monge-Ampère Equations and their Characteristics by Manno, Gianni, Moreno, Giovanni

“…This paper is a natural companion of [Alekseevsky D.V., Alonso Blanco R., Manno G., Pugliese F., Ann. Inst. Fourier (Grenoble) 62 (2012), 497-524,…”
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Ordinary differential equations described by their Lie symmetry algebra by Manno, Gianni, Oliveri, Francesco, Saccomandi, Giuseppe, Vitolo, Raffaele

“…The theory of Lie remarkable equations, i.e., differential equations characterized by their Lie point symmetries, is reviewed and applied to ordinary…”
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On the extendability of conformal vector fields of 2-dimensional manifolds by Manno, Gianni, Metafune, Giorgio

“…Let g be a pseudo-Riemannian metric on a 2-dimensional manifold M. We prove that a conformal vector field of g|M∖{p}, where p∈M, can be uniquely extended to a…”
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mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in complex projective spaces by Manno, Gianni, Salis, Filippo

“…We give a complete list, for $n \leq 6$, of non-isometric $\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in a finite dimensional complex…”
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On differential equations characterized by their Lie point symmetries by Manno, Gianni, Oliveri, Francesco, Vitolo, Raffaele

“…We study the geometry of differential equations determined uniquely by their point symmetries, that we call Lie remarkable. We determine necessary and…”
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Geometric Aspects of Higher Order Variational Principles on Submanifolds by Manno, Gianni, Vitolo, Raffaele

“…The geometry of jets of submanifolds is studied, with special interest in the relationship with the calculus of variations. A new intrinsic geometric…”
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Infinite-dimensional prolongation Lie algebras and multicomponent Landau–Lifshitz systems associated with higher genus curves by Igonin, Sergey, van de Leur, Johan, Manno, Gianni, Trushkov, Vladimir

“…The Wahlquist–Estabrook prolongation method constructs for some PDEs a Lie algebra that is responsible for Lax pairs and Bäcklund transformations of certain…”
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3-dimensional Levi-Civita metrics with projective vector fields by Manno, Gianni, Vollmer, Andreas

“…Volume 163, July 2022, Pages 473-517 Projective vector fields are the infinitesimal transformations whose local flow preserves geodesics up to…”
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