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We discuss which semisimple locally symmetric spaces admit an AHS-structure invariant under local symmetries. We classify them for all types of AHS-structures and determine possible equivalence classes of such AHS-structures.

Classification of irreducible holonomies of torsion-free affine connections.

Merkulov, Sergei, Schwachhöfer, Lorenz (1999)

Annals of Mathematics. Second Series

Classification of locally projectively homogeneous torsion-less affine connections in the plane domains.

Kowalski, Oldřich, Vlášek, Zdeněk (2007)

Beiträge zur Algebra und Geometrie

Classification of locally symmetric contact metric manifolds.

Pastore, Anna Maria (1998)

Balkan Journal of Geometry and its Applications (BJGA)

Classification of Monge-Ampère equations with two variables

Boris Kruglikov (1999)

Banach Center Publications

This paper deals with the classification of hyperbolic Monge-Ampère equations on a two-dimensional manifold. We solve the local equivalence problem with respect to the contact transformation group assuming that the equation is of general position nondegenerate type. As an application we formulate a new method of finding symmetries. This together with previous author's results allows to state the solution of the classical S. Lie equivalence problem for the Monge-Ampère equations.

Classification of overtwisted contact structures on 3-manifolds.

Y. Eliashberg (1989)

Inventiones mathematicae

Classification of $𝔭$ -homomorphisms between higher symplectic spinors

Krýsl, Svatopluk (2006)

Proceedings of the 25th Winter School "Geometry and Physics"

Classification of pencils of conics of type VI in the isotropic plane. (Klassifikationstheorie der Kegelschnittbüschel vom Typ VI der isotropen Ebene.)

Ščurić-Čudovan, Vlasta (1996)

Mathematica Pannonica

Classification of principal connections naturally induced on $W^{2} P E$

Jan Vondra (2008)

Archivum Mathematicum

We consider a vector bundle $E \to M$ and the principal bundle $P E$ of frames of $E$ . Let $K$ be a principal connection on $P E$ and let $Λ$ be a linear connection on $M$ . We classify all principal connections on $W^{2} P E = P^{2} M \times_{M} J^{2} P E$ naturally given by $K$ and $Λ$ .

Classification of projective space motions with only plane trajectories

Adolf Karger (1989)

Aplikace matematiky

The paper contains the solution of the classification problem for all motions in the complex projective space, which have only plane trajectories. It is shown that each such motion is a submanifold of a maximal motion with the same property. Maximal projective space motions with only plane trajectories are determined by special linear submanifolds of dimensions 2, 3, 5, 8 in $G L (4, C)$ , they are denoted as $R, E_{1}, . . ., E_{6}, S_{1}, S_{2}$ and given by explicit expressions.

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Classification of complete minimal surfaces in R3 with total curvature 12... .

Classification of cylindrically symmetric static space-times according to their proper homothetic vector fields.

Classification of endomorphisms of some Lie algebroids up to homotopy and the fundamental group of a Lie algebroid

Classification of five dimensional hypersurfaces with affine normal parallel cubic form.

Classification of generalized affine symmetric spaces of dimension n ≤ 4 [Book]

Classification of homogeneous submanifolds in homogeneous spaces.

Classification of invariant AHS-structures on semisimple locally symmetric spaces