The f-sectional curvature of f-Kaehlerian manifolds
The fundamental equations of conformal submersions.
The Fundamental Equations of Minimal Surfaces in C2.
The fundamental group and the spectrum of the Laplacian.
The fundamental group of compact manifolds without conjugate points.
The Gap Phenomena of Yang-Mills Fields over the Complete Manifold.
The gap theorems for some extremal submanifolds in a unit sphere
Let be an -dimensional submanifold in the unit sphere , we call a -extremal submanifold if it is a critical point of the functional . In this paper, we can study gap phenomenon for these submanifolds.
The Gauss map of Hessian manifolds in spaces of constant Hessian sectional curvature via Kozsul forms.
The Gauss-Bonnet theorem for Cayley-Klein geometries of dimension two.
The general rigidity result for bundles of -covelocities and -jets
Let be an -dimensional manifold and a Weil algebra of height . We prove that any -covelocity , is determined by its values over arbitrary regular and under the first jet projection linearly independent elements of . Further, we prove the rigidity of the so-called universally reparametrizable Weil algebras. Applying essentially those partial results we give the proof of the general rigidity result without coordinate computations, which improves and generalizes the partial result obtained...
The generalized Lichnerowicz formula and analysis of Dirac operators.
The generalized regular functions over conformal quaternionic manifold
The geodesic hypothesis and non-topological solitons on pseudo-riemannian manifolds
The geometrical interpretation of temporal cone norm in almost Minkowski manifold.
The geometry and spectrum of the one holed torus.
The geometry and topology of 3-Sasakian manifolds.
The geometry of a semi-direct extension of a Heisenberg type nilpotent group
The geometry of a vector bundle endowed with a cone field.
The geometry of autonomous metrical multi-time Lagrange space of electrodynamics.
The geometry of closed hypersurfaces