Geometry of dynamics in general relativity
Geometry of Gaussian nonlinear regression. Parallel curves and confidence intervals
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 isotypic Kronecker webs
An isotypic Kronecker web is a family of corank m foliations such that the curve of annihilators t ↦ (T x F t)⊥ ∈ Grm(T x* M) is a rational normal curve in the Grassmannian Grm(T x*M) at any point x ∈ M. For m = 1 we get Veronese webs introduced by I. Gelfand and I. Zakharevich [Gelfand I.M., Zakharevich I., Webs, Veronese curves, and bi-Hamiltonian systems, J. Funct. Anal., 1991, 99(1), 150–178]. In the present paper, we consider the problem of local classification of isotypic Kronecker webs...
Geometry of Kähler metrics and foliations by holomorphic discs
Geometry of k-Lagrange Spaces of Second Order
Geometry of Lagrangean structures. 3
Geometry of Manifolds which Admit Conservation Laws, II.
Geometry of Mus-Sasaki metric
In this paper, we introduce the Mus-Sasaki metric on the tangent bundle as a new natural metric non-rigid on . First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar curvature.
Geometry of oblique projections
Let A be a unital C*-algebra. Denote by P the space of selfadjoint projections of A. We study the relationship between P and the spaces of projections determined by the different involutions induced by positive invertible elements a ∈ A. The maps sending p to the unique with the same range as p and sending q to the unitary part of the polar decomposition of the symmetry 2q-1 are shown to be diffeomorphisms. We characterize the pairs of idempotents q,r ∈ A with ||q-r|| < 1 such that...
Geometry of parallelizable manifolds in the context of generalized Lagrange spaces.
Geometry of Poisson structures.
Geometry of quotient spaces of SO (3) SL (3, R) by congruence subgroups.
Geometry of second-order connections and ordinary differential equations
The geometry of second-order systems of ordinary differential equations represented by -connections on the trivial bundle is studied. The formalism used, being completely utilizable within the framework of more general situations (partial equations), turns out to be of interest in confrontation with a traditional approach (semisprays), moreover, it amounts to certain new ideas and results. The paper is aimed at discussion on the interrelations between all types of connections having to do with...
Geometry of some twistor spaces of algebraic dimension one
It is shown that there exists a twistor space on the n-fold connected sum of complex projective planes nCP2, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface. The former kind of twistor spaces are constructed over nCP2 for any n ≥ 5, while the latter kind of example is constructed over 5CP2. Both of these seem to be the first such example on nCP2. The algebraic reduction in these examples is induced by...
“Geometry” of spin 3 gauge theories
Geometry of Submanifolds. I. The first Casorati curvature indicatrices
Geometry of the Complex Homogeneous Monge-Ampère Equation.
Geometry of the Kepler system in coherent states approach
Geometry of the manifold of -planes of an elliptic -space.