A classification of 3-type curves in Minkowski 3-space e_1^3, II
A classification of certain submanifolds of an S-manifold
A classification theorem is obtained for submanifolds with parallel second fundamental form of an 𝑆-manifold whose invariant f-sectional curvature is constant.
A classification of contact metric 3-manifolds with constant -sectional and -sectional curvatures.
A classification of locally homogeneous connections on 2-dimensional manifolds via group-theoretical approach
The aim of this paper is to classify (lócally) all torsion-less locally homogeneous affine connections on two-dimensional manifolds from a group-theoretical point of view. For this purpose, we are using the classification of all non-equivalent transitive Lie algebras of vector fields in ℝ2 according to P.J. Olver [7].
A classification of Monge-Ampère equations
A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups
Let G be a complex reductive connected algebraic group equipped with the Sklyanin bracket. A classification of Poisson homogeneous G-spaces with connected isotropy subgroups is given. This result is based on Drinfeld's correspondence between Poisson homogeneous G-spaces and Lagrangian subalgebras in the double D𝖌 (here 𝖌 = Lie G). A geometric interpretation of some Poisson homogeneous G-spaces is also proposed.
A classification of the torsion tensors on almost contact manifolds with B-metric
The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.
A classification theorem for connections.
A cohomological description of connections and curvature over posets.
A collar neighborhood theorem for a complex manifold
A combinatorial curvature flow for compact 3-manifolds with boundary.
A common characterization of the curvature axis for ruled surfaces and curves. (Eine gemeinsame Kennzeichnung der Krümmungsachse bei Regelflächen und Kurven.)
A compactification of a manifold with asymptotically nonnegative curvature
A Compactness Theorem for Surfaces with Lp-Bounded Second Fundamental Form.
A comparison principle for a class of subparabolic equations in Grushin-type spaces.
A comparison-estimate of Topogonov type for Ricci curvature.
A complement to the paper “On the Kolář connection” [Arch. Math. (Brno) 49 (2013), 223–240]
A complete classification of four-dimensional paraKähler Lie algebras
We consider paraKähler Lie algebras, that is, even-dimensional Lie algebras g equipped with a pair (J, g), where J is a paracomplex structure and g a pseudo-Riemannian metric, such that the fundamental 2-form Ω(X, Y) = g(X, JY) is symplectic. A complete classification is obtained in dimension four.
A complex from linear elasticity
Introduction: This article will present just one example of a general construction known as the Bernstein-Gelfand-Gelfand (BGG) resolution. It was the motivating example from two lectures on the BGG resolution given at the 19th Czech Winter School on Geometry and Physics held in Srní in January 1999. This article may be seen as a technical example to go with a more elementary introduction which will appear elsewhere [M. Eastwood, Notices Am. Math. Soc. 46, No. 11, 1368-1376 (1999)]. In fact, there...
A concentration Phenomenon in Mean curvature Flow.