Gauss-Codazzi tensor fields and the Bonnet immersion theorem.
Generalized Hopf manifolds with flat local Kaelher metrics
Generalized -space-forms
Generalized Symmetric Submanifolds of Euclidean Spaces.
Generalized Tanaka-Webster and Levi-Civita connections for normal Jacobi operator in complex two-plane Grassmannians
We study classifying problems of real hypersurfaces in a complex two-plane Grassmannian . In relation to the generalized Tanaka-Webster connection, we consider that the generalized Tanaka-Webster derivative of the normal Jacobi operator coincides with the covariant derivative. In this case, we prove complete classifications for real hypersurfaces in satisfying such conditions.
Generic submanifolds in almost Hermitian manifolds
Generic submanifolds of a locally conformal Kaehler manifold. II.
Generic warped product submanifolds in nearly Kähler manifolds.
Geodesic graphs on special 7-dimensional g.o. manifolds
In ( Dušek, Z., Kowalski, O. and Nikčević, S. Ž., New examples of Riemannian g.o. manifolds in dimension 7, Differential Geom. Appl. 21 (2004), 65–78.), the present authors and S. Nikčević constructed the 2-parameter family of invariant Riemannian metrics on the homogeneous manifolds and . They proved that, for the open dense subset of this family, the corresponding Riemannian manifolds are g.o. manifolds which are not naturally reductive. Now we are going to investigate the remaining metrics...
Geodesic spheres and isometric flows
Geometric application of Euclidean Jordan Triple Systems.
Geometric properties of Lie hypersurfaces in a complex hyperbolic space
We study homogeneous real hypersurfaces having no focal submanifolds in a complex hyperbolic space. They are called Lie hypersurfaces in this space. We clarify the geometry of Lie hypersurfaces in terms of their sectional curvatures, the behavior of the characteristic vector field and their holomorphic distributions.
Geometrical interpretation of the sinh-Gordon equation
Geometry of holomorphic distributions of real hypersurfaces in a complex projective space
We characterize homogeneous real hypersurfaces ’s of type , and of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution of .
Geometry of Manifolds which Admit Conservation Laws, II.
Global geometric structures associated with dynamical systems admitting normal shift of hypersurfaces in Riemannian manifolds.
Global pinching theorems for minimal submanifolds in spheres
Let M be a compact submanifold with parallel mean curvature vector embedded in the unit sphere . By using the Sobolev inequalities of P. Li to get estimates for the norms of certain tensors related to the second fundamental form of M, we prove some rigidity theorems. Denote by H and the mean curvature and the norm of the square length of the second fundamental form of M. We show that there is a constant C such that if , then M is a minimal submanifold in the sphere with sectional curvature...
Global pinching theorems of submanifolds in spheres.