Instability of the nearly-Kähler six-sphere.
Instanton invariants of ...P2 via topology.
Instantons on cylindrical manifolds and stable bundles.
Instantons on Hopf surfaces and monopoles on solid tori.
Instantony a topologie čtyřrozměrných variet
Integrability for representations appearing in geometric pre-quantization
Integrability obstructions for extensions of Lie algebroids
Integrability of distribution on a nearly Sasakian manifold.
Integrability of tensor structures of electromagnetic type.
Integrable equations and their evolutions based on intrinsic geometry of Riemann spaces.
Integrable smooth planar billiards and evolutes.
Integral distance on a Lipschitz Riemannian manifold.
Integral formula for secantoptics and its application
Some properties of secantoptics of ovals defined by Skrzypiec in 2008 were proved by Mozgawa and Skrzypiec in 2009. In this paper we generalize to this case results obtained by Cieślak, Miernowski and Mozgawa in 1996 and derive an integral formula for an annulus bounded by a given oval and its secantoptic. We describe the change of the area bounded by a secantoptic and find the differential equation for this function. We finish with some examples illustrating the above results.
Integral formulae for a Riemannian manifold with two orthogonal distributions
We obtain a series of new integral formulae for a distribution of arbitrary codimension (and its orthogonal complement) given on a closed Riemannian manifold, which start from the formula by Walczak (1990) and generalize ones for foliations by several authors. For foliations on space forms our formulae reduce to the classical type formulae by Brito-Langevin-Rosenberg (1981) and Brito-Naveira (2000). The integral formulae involve the conullity tensor of a distribution, and certain components of the...
Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space
In this paper, we study closed -maximal spacelike hypersurfaces in anti-de Sitter space with two distinct principal curvatures and give some integral formulas about these hypersurfaces.
Integral formulas for compact spacelike n-submanifolds in de Sitter spaces Applications to the parallel mean curvature vector case.
Integral formulas related to ovals.
Integral formulas related to wave fronts
In the first section of the paper we study some properties of oriented volumes of wave fronts propagating in spaces of constant curvature. In the second section, we generalize to an arbitrary isometric action of a Lie group on a Riemannian manifold the following principle: an extra pression inside of a ball does not move it.
Integral geometry and real zeros of Thue-Morse polynomials.
Integral Geometry of the action fof ST(3) on the space E...