O čtvrtém Hilbertově problému
O geometrii laplasiánu. I
O geometrii laplasiánu. II
O integrální geometrii
Obata’s Rigidity Theorem for Metric Measure Spaces
We prove Obata’s rigidity theorem for metric measure spaces that satisfy a Riemannian curvaturedimension condition. Additionally,we show that a lower bound K for the generalizedHessian of a sufficiently regular function u holds if and only if u is K-convex. A corollary is also a rigidity result for higher order eigenvalues.
Observations on harmonic maps and singular varieties
On 1-harmonic functions.
On -dimensional Riemannian manifolds with positive scalar curvature
In questo lavoro si danno alcuni risultati sugli spettri degli operatori di Laplace per varietà Riemanniane compatte con curvatura scalare positiva e di dimensione . Ad essi si aggiunge una osservazione riguardante la congettura di Yamabe.
On 2-framed Riemannian manifolds with Godbillon-Vey structure form.
On 2-quasi-umbilical pseudosymmetric hypersurfaces in the Euclidean space.
On 3-dimensional CR-manifolds
On 3-dimensional generalized -contact metric manifolds.
On 3-Dimensional Riemannian ...-Spaces.
On 3-symmetric Riemannian spaces of solvable type
On -dimensional Lie groups as quasi-Kähler manifolds with Killing Norden metric.
On 4-dimensional locally conformally flat almost Kähler manifolds
Using the fundamental notions of the quaternionic analysis we show that there are no 4-dimensional almost Kähler manifolds which are locally conformally flat with a metric of a special form.
On a Bianchi-type identity for the almost hermitian manifolds
Almost hermitian manifolds, whose Riemann curvature tensor satisfies an almost complex Bianchi-type identity, are considered. Some local and global theorems are proved. The special cases of parakähler manifolds and of Kähler manifolds are examined.
On a borderline class of non-positively curved compact Kähler manifolds.
On a Carathéodory's conjecture on umbilics : representing ovaloids
On a certain class of Riemannian homogeneous spaces