On stability of minimal submanifolds in compact symmetric spaces
On stability of Ricci flows based on bounded curvatures.
On stable currents in positively pinched curved hypersurfaces
Let Mⁿ (n ≥ 3) be an n-dimensional complete hypersurface in a real space form N(c) (c ≥ 0). We prove that if the sectional curvature of M satisfies the following pinching condition: , where δ = 1/5 for n ≥ 4 and δ = 1/4 for n = 3, then there are no stable currents (or stable varifolds) in M. This is a positive answer to the well-known conjecture of Lawson and Simons.
On Strongly Pseudo-convex Kähler Manifolds.
On subharmonic functions and differential geometry in the large.
On submanifolds and quotients of Poisson and Jacobi manifolds
We obtain conditions under which a submanifold of a Poisson manifold has an induced Poisson structure, which encompass both the Poisson submanifolds of A. Weinstein [21] and the Poisson structures on the phase space of a mechanical system with kinematic constraints of Van der Schaft and Maschke [20]. Generalizations of these results for submanifolds of a Jacobi manifold are briefly sketched.
On submanifolds in a space with Sasakian 3-structure
On submanifolds of codimension 2 immersed in a Hsu--quarternion manifold.
On submanifolds of two manifolds.
On Super Quasi Einstein Manifold
On superminimal surfaces
Using the Cartan method O. Boruvka (see [B1], [B2]) studied superminimal surfaces in four-dimensional space forms. In particular, he described locally the family of all superminimal surfaces and classified all of them with a constant radius of the indicatrix. We discuss the mentioned results from the point of view of the twistor theory, providing some new proofs. It turns out that the superminimal surfaces investigated by geometers at the beginning of this century as well as by O. Boruvka...
On surfaces in with constant Gauss curvature
On surfaces with constant mean curvature
On symmetric Riemannian manifolds.
On Symmetrie Submanifolds of Spaces of Constant Curvature.
On the absolute differentiation of geometric object fields
On the affine normal
On the algebraic hull of an automorphism group of a principal bundle.
On the algebraic structure on the jet prolongations of fibred manifolds
On the approximation of functions on a Hodge manifold
If is a Hodge manifold and we construct a canonical sequence of functions such that in the topology. These functions have a simple geometric interpretation in terms of the moment map and they are real algebraic, in the sense that they are regular functions when is regarded as a real algebraic variety. The definition of is inspired by Berezin-Toeplitz quantization and by ideas of Donaldson. The proof follows quickly from known results of Fine, Liu and Ma.