Generalized -space-forms
Generalized symmetric spaces and minimal models
We prove that any compact simply connected manifold carrying a structure of Riemannian 3- or 4-symmetric space is formal in the sense of Sullivan. This result generalizes Sullivan's classical theorem on the formality of symmetric spaces, but the proof is of a different nature, since for generalized symmetric spaces techniques based on the Hodge theory do not work. We use the Thomas theory of minimal models of fibrations and the classification of 3- and 4-symmetric spaces.
Generalized symmetric spaces (Preliminary communication)
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.
Generalized timelike Mannheim curves in Minkowski space-time .
Generalized Weingarten surfaces
Generalized-Finslerian connection coefficients for the static spherically symmetric space.
Generalizing a realization result of B. Zimmermann and K.B. Lee to infranilmanifolds.
Generating function polynomials for Legendrian links.
Generating solids by sweeping polyhedra.
Generating varieties for the triple loop space of classical Lie groups
For G = SU(n), Sp(n) or Spin(n), let be the centralizer of a certain SU(2) in G. We have a natural map . For a generator α of , we describe J⁎(α). In particular, it is proved that is injective.
Generic deformations of Lagrangian and Legendrian maps
Generic Minimal Surfaces.
Generic one-step bracket-generating distributions of rank four
We give a uniform, explicit description of the generic types of one–step bracket–generating distributions of rank four. A manifold carrying such a structure has dimension at least five and no higher than ten. For each of the generic types, we give a brief description of the resulting class of generic distributions and of geometries equivalent to them. For dimensions different from eight and nine, these are available in the literature. The remaining two cases are dealt with in my doctoral thesis.
Generic orbits of the diffeomorphism group of a two-manifold in the space of regular momenta
Generic properties of closed geodesics on smooth hypersurfaces.
Generic Properties of Geodesic Flows.
Generic submanifolds in almost Hermitian manifolds
Generic submanifolds of a locally conformal Kaehler manifold. II.