Generalized Hopf manifolds with flat local Kaelher metrics
Generalized Kählerian manifolds and transformation of generalized contact structures
The aim of this paper is two-fold. First, new generalized Kähler manifolds are constructed starting from both classical almost contact metric and almost Kählerian manifolds. Second, the transformation construction on classical Riemannian manifolds is extended to the generalized geometry setting.
Generalized Miron's -connection in the recurrent -Hamilton spaces.
Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds
We consider generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds. First, we prove that a complete Sasakian manifold M admitting a generalized m-quasi-Einstein metric is compact and isometric to the unit sphere . Next, we generalize this to complete K-contact manifolds with m ≠ 1.
Generalized plane wave manifolds
Generalized pointwise symmetric spaces
Generalized P-reducible (α,β)-metrics with vanishing S-curvature
We study one of the open problems in Finsler geometry presented by Matsumoto-Shimada in 1977, about the existence of a concrete P-reducible metric, i.e. one which is not C-reducible. In order to do this, we study a class of Finsler metrics, called generalized P-reducible metrics, which contains the class of P-reducible metrics. We prove that every generalized P-reducible (α,β)-metric with vanishing S-curvature reduces to a Berwald metric or a C-reducible metric. It follows that there is no concrete...
Generalized projective geometries: General theory and equivalance with Jordan structures.
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
Generalizing a realization result of B. Zimmermann and K.B. Lee to infranilmanifolds.
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.