Homogeneous CR and Para-CR structures in dimensions 5 and 3 (Q6143867)

scientific article; zbMATH DE number 7784098

Language	Label	Description	Also known as
English	Homogeneous CR and Para-CR structures in dimensions 5 and 3	scientific article; zbMATH DE number 7784098

Statements

instance of

scholarly article

0 references

title

Homogeneous CR and Para-CR structures in dimensions 5 and 3 (English)

0 references

0 references

0 references

The Journal of Geometric Analysis

0 references

publication date

5 January 2024

0 references

zbMATH Keywords

symmetries of partial differential equations and of Cauchy-Riemann manifolds

0 references

Cartan's method of equivalence

0 references

power series method of equivalence

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1007/s12220-023-01461-0

0 references

cites work

Affine homogeneous surfaces in $\mathbb{R}^ 3$ with vanishing Pick invariant

0 references

Local equivalence problem for a second order complete scalar system of partial differencial equations with $n$ independent variables

0 references

Symmetries and differential equations

0 references

Q3395506

0 references

Q4334541

0 references

On differential invariants of parabolic surfaces

0 references

Normal forms for rigid $\mathfrak{C}_{2,1}$ hypersurfaces $M^5 \subset \mathbb{C}^3$

0 references

Lie-Cartan differential invariants and Poincaré-Moser normal forms: Conflunces

0 references

On the projective structure of a real hypersurface in $\mathsf{C}_{n+1}$.

0 references

Real hypersurfaces in complex manifolds

0 references

Classification of homogeneous submanifolds in homogeneous spaces

0 references

Q4938697

0 references

Homogeneous integrable Legendrian contact structures in dimension five

0 references

Homogeneous Levi non-degenerate hypersurfaces in $\mathbb{C}^3$

0 references

Classification of Simply-Transitive Levi Non-Degenerate Hypersurfaces in ℂ3

0 references

On affine normal forms and a classification of homogeneous surfaces in affine three-space

0 references

Theory of Transformation Groups I

0 references

CR-manifolds of dimension 5: A Lie algebra approach

0 references

Classification of Levi degenerate homogeneous CR-manifolds in dimension 5

0 references

Moving coframes. II: Regularization and theoretical foundations

0 references

Normal forms of second-order ordinary differential equations $y_{xx}=J(x,y,y_x)$ under fibre-preserving maps

0 references

Differentiall $ {e} $-structures for equivalences of $ 2 $-nondegenerate Levi rank $ 1 $ hypersurfaces $ M_5 ⊂ \mathbb{C} $

0 references

Parametric CR-umbilical locus of ellipsoids in $\mathbb{C}^2$

0 references

Rigid biholomorphic equivalences of rigid $\mathfrak{C}_{2 , 1}$ hypersurfaces $M^5 \subset \mathbb{C}^3$

0 references

On convergent Poincaré-Moser reduction for Levi degenerate embedded 5-dimensional CR manifolds

0 references

Q4125430

0 references

Erratum to: ``A new example of a uniformly Levi degenerate hypersurface in $\mathbb C^3$''

0 references

Third-order ODEs and four-dimensional split signature Einstein metrics

0 references

Q5770929

0 references

Q5837199

0 references

Q3233664

0 references

Differential equations and para-CR structures

0 references

Q3418574

0 references

A short proof of the Dimension Conjecture for real hypersurfaces in ℂ²

0 references

Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms

0 references

Q3998484

0 references

A complete normal form for everywhere Levi-degenerate hypersurfaces in $\mathbb{C}^3$

0 references

Point Classification of Second Order ODEs: Tresse Classification Revisited and Beyond

0 references

Geometry of differential equations

0 references

Global Lie-Tresse theorem

0 references

The gap phenomenon in parabolic geometries

0 references

Some invariants of tubular hypersurfaces in $\mathbb{C}^ 2$

0 references

Q4552343

0 references

Homogeneous strictly pseudoconvex hypersurfaces in $ \mathbb C^3$ with two-dimensional isotropy groups

0 references

Homogeneous nondegenerate hypersurfaces in $\mathbb{C}^3$ with two-dimensional isotropy groups

0 references

Determination of a homogeneous strictly pseudoconvex surface from the coefficients of its normal equation

0 references

Holomorphically homogeneous real hypersurfaces in $\mathbb {C}^3$

0 references

The Equivalence Problem for Five-dimensional Levi Degenerate CR Manifolds

0 references

Structure equations of Levi degenerate CR hypersurfaces of uniform type

0 references

Characterization of the Newtonian free particle system in $m\geqslant 2$ dependent variables

0 references

Lie symmetries and CR geometry

0 references

A Lie-theoretic Construction of Cartan-Moser Chains

0 references

Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects

0 references

Five-dimensional para-CR manifolds and contact projective geometry in dimension three

0 references

Addendum to: ``Explicit absolute parallelism for 2-nondegenerate real hypersurfaces $M^5 \subset {\mathbb{C}}^3$ of constant Levi rank 1''

0 references

Explicit expression of Cartan's connection for Levi-nondegenerate 3-manifolds in complex surfaces, and identification of the Heisenberg sphere

0 references

The Cartan equivalence problem for Levi-non-degenerate real hypersurfaces $ M^3\subset\mathbb C^2$

0 references

Differential equations and conformal structures

0 references

Three-dimensional Cauchy–Riemann structures and second-order ordinary differential equations

0 references

Symmetries of Cauchy-Riemann spaces

0 references

Q4849745

0 references

Normal forms for submanifolds under group actions

0 references

The local equivalence problem for 7-dimensional, 2-nondegenerate CR manifolds

0 references

3-folds CR-embedded in 5-dimensional real hyperquadrics

0 references

Absolute parallelism for 2-nondegenerate CR structures via bigraded Tanaka prolongation

0 references

Q4479875

0 references

Q4479876

0 references

Exact Solutions of Einstein's Field Equations

0 references

On the mapping problem for algebraic real hypersurfaces

0 references

The classification of three-dimensional homogeneous complex manifold

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.1007/S12220-023-01461-0

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6143867