Integrability Conditions Of Derivational Formulas Of A Subspace Of A Generalized Riemannian Space
Invariant Submanifolds in Sasakian Manifolds.
Invariant submanifolds of codimension 2 of almost contact manifolds
Invariant submanifolds of Sasakian manifolds.
Isometric immersions and the generalized Laplace and elliptic sinh-Gordon equations.
Isoparametric and Dupin hypersurfaces.
Isotropic Immersions of Complex Space Forms into Real Space Forms and Mean Curvatures
Using an inequality related to the mean curvature, we give a sufficient condition for an isotropic immersion of a complex space form into a real space form to be parallel.
Lie derivatives on real hypersurfaces in a complex projective space
Local isometric immersions of R2 into R4.
Local solvability of degenerate Monge-Ampère equations and applications to geometry.
Locally symmetric immersions
We use reflections with respect to submanifolds and related geometric results to develop, inspired by the work of Ferus and other authors, in a unified way a local theory of extrinsic symmetric immersions and submanifolds in a general analytic Riemannian manifold and in locally symmetric spaces. In particular we treat the case of real and complex space forms and study additional relations with holomorphic and symplectic reflections when the ambient space is almost Hermitian. The global case is also...
Magnetic Curves in a Euclidean Space: One Example, Several Approaches
Minimal lightlike hypersurfaces in with integrable screen distribution.
Minimal submanifolds in with a g.c.K. structure
In this paper we obtain all invariant, anti-invariant and submanifolds in endowed with a globally conformal Kähler structure which are minimal and tangent or normal to the Lee vector field of the g.c.K. structure.
Minimal Submanifolds in SN and RN.
Neifeld’s Connection Inducedon the Grassmann Manifold
The work concerns to investigations in the field of differential geometry. It is realized by a method of continuations and scopes of G. F. Laptev which generalizes a moving frame method and Cartan’s exterior forms method and depends on calculation of exterior differential forms. The Grassmann manifold (space of all -planes) is considered in the -dimensional projective space . Principal fiber bundle of tangent linear frames is arised above this manifold. Typical fiber of the principal fiber bundle...
Neighbourhoods of independence and associated geometry in manifolds of bivariate Gaussian and Freund distributions
We provide explicit information geometric tubular neighbourhoods containing all bivariate distributions sufficiently close to the cases of independent Poisson or Gaussian processes. This is achieved via affine immersions of the 4-manifold of Freund bivariate distributions and of the 5-manifold of bivariate Gaussians. We provide also the α-geometry for both manifolds. The Central Limit Theorem makes our neighbourhoods of independence limiting cases for a wide range of bivariate distributions; the...
New approach for the submanifolds of the Euclidean space.
Non-commutative Gauss map
Non-existence of real lightlike hypersurfaces of an indefinite complex space form.