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Introduction to the theory of semi-holonomic jets.

Libermann, Paulette (1996)

Archivum Mathematicum

Introduction to the theory of semi-holonomic jets

Paulette Libermann (1997)

Archivum Mathematicum

Invariant manifolds. I.

Jaroslav Kurzweil (1970)

Commentationes Mathematicae Universitatis Carolinae

Invariant subspaces in higher order jet prolongations of a fibred manifold

Miroslav Doupovec, Alexandr Vondra (2000)

Czechoslovak Mathematical Journal

We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.

Invariant variational problems on principal bundles and conservation laws

Ján Brajerčík (2011)

Archivum Mathematicum

In this work, we consider variational problems defined by $G$ -invariant Lagrangians on the $r$ -jet prolongation of a principal bundle $P$ , where $G$ is the structure group of $P$ . These problems can be also considered as defined on the associated bundle of the $r$ -th order connections. The correspondence between the Euler-Lagrange equations for these variational problems and conservation laws is discussed.

Invariants de certaines actions de lie instabilité du caractère Fredholm.

A. El Kacimi Alaoui (1992)

Manuscripta mathematica

Inverse problem of the classical calculus of variations

Jan Chrastina (1982)

Archivum Mathematicum

Involutivity degree of a distribution at superdensity points of its tangencies

Silvano Delladio (2021)

Archivum Mathematicum

Let $Φ_{1}, ..., Φ_{k + 1}$ (with $k \geq 1$ ) be vector fields of class $C^{k}$ in an open set $U \subset^{N + m}$ , let $𝕄$ be a $N$ -dimensional $C^{k}$ submanifold of $U$ and define $𝕋 : = {z \in 𝕄 : Φ_{1} (z), ..., Φ_{k + 1} (z) \in T_{z} 𝕄}$ where $T_{z} 𝕄$ is the tangent space to $𝕄$ at $z$ . Then we expect the following property, which is obvious in the special case when $z_{0}$ is an interior point (relative to $𝕄$ ) of $𝕋$ : If $z_{0} \in 𝕄$ is a $(N + k)$ -density point (relative to $𝕄$ ) of $𝕋$ then all the iterated Lie brackets of order less or equal to $k$ $...$

S U (n) / S O (n)

, with

n \geq 3

, and its reduced space, the reduced Lagrangian Grassmannian

X

. The latter is an irreducible symmetric space of rank

n - 1

and is the quotient of the Grassmannian

S U (n) / S O (n)

under the action of a cyclic group of isometries of order

n

. The main result of this paper asserts that the symmetric space

X

possesses non-trivial infinitesimal isospectral deformations. Thus we obtain the first example of an irreducible symmetric space of arbitrary rank

\geq 2

, which is...

Displaying 21 – 35 of 35

Introduction to the theory of semi-holonomic jets.

Introduction to the theory of semi-holonomic jets

Invariant manifolds. I.

Invariant subspaces in higher order jet prolongations of a fibred manifold

Invariant variational problems on principal bundles and conservation laws

Invariants de certaines actions de lie instabilité du caractère Fredholm.

Inverse problem of the classical calculus of variations

Involutivity degree of a distribution at superdensity points of its tangencies

Irreducible components of the space of holomorphic foliations.

Isomorphism of de Rham cohomology and relative Hochschild cohomology of differential operators

Isomorphisms of Lie algebras of vector fields

Isospectral deformations of the Lagrangian Grassmannians

Isotopie de formes fermées en dimension trois.

Isotropic characteristic classes

Iterated Integrals and Homotopy Periods

Currently displaying 21 – 35 of 35