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 concentration Phenomenon in Mean curvature Flow.
A conformally invariant sphere theorem in four dimensions
A conjecture concerning positive Ricci curvature and the Witten genus.
A Conjecture of Besse on Harmonic Manifolds.
A connection in a differential module
A Construction of Non-Flat, Compact Irreducible Riemannian Manifolds Which are Isospectral But Not Isometric.
A construction of non-flat non-homogeneous symmetric parabolic geometries
We construct series of examples of non-flat non-homogeneous parabolic geometries that carry a symmetry of the parabolic geometry at each point.
A construction of transverse submanifolds.
A contact metric manifold satisfying a certain curvature condition
In the present paper we investigate a contact metric manifold satisfying (C) for any -geodesic , where is the Tanaka connection. We classify the 3-dimensional contact metric manifolds satisfying (C) for any -geodesic . Also, we prove a structure theorem for a contact metric manifold with belonging to the -nullity distribution and satisfying (C) for any -geodesic .
A continuation method for motion-planning problems
We apply the well-known homotopy continuation method to address the motion planning problem (MPP) for smooth driftless control-affine systems. The homotopy continuation method is a Newton-type procedure to effectively determine functions only defined implicitly. That approach requires first to characterize the singularities of a surjective map and next to prove global existence for the solution of an ordinary differential equation, the Wazewski equation. In the context of the MPP, the aforementioned...
A continuation method for motion-planning problems
We apply the well-known homotopy continuation method to address the motion planning problem (MPP) for smooth driftless control-affine systems. The homotopy continuation method is a Newton-type procedure to effectively determine functions only defined implicitly. That approach requires first to characterize the singularities of a surjective map and next to prove global existence for the solution of an ordinary differential equation, the Wazewski equation. In the context of the MPP, the aforementioned...
A contribution to the Cartan's method of specialization of frames
A convenient setting for differential geometry and global analysis
A convenient setting for differential geometry and global analysis II