Notes on isometries
Notes on new Finsler metric function.
Novikov homology, jump loci and Massey products
Let X be a finite CW complex, and ρ: π 1(X) → GL(l, ℂ) a representation. Any cohomology class α ∈ H 1(X, ℂ) gives rise to a deformation γ t of ρ defined by γ t (g) = ρ(g) exp(t〈α, g〉). We show that the cohomology of X with local coefficients γ gen corresponding to the generic point of the curve γ is computable from a spectral sequence starting from H*(X, ρ). We compute the differentials of the spectral sequence in terms of the Massey products and show that the spectral sequence degenerates in case...
Null cones and pseudo-riemannian metrics.
Null generalized helices in .
Null scrolls in the 3-dimensional Lorentzian space.
O geometrii laplasiánu. I
O geometrii laplasiánu. II
On 3-dimensional CR-manifolds
On a Bianchi-type identity for the almost hermitian manifolds
Almost hermitian manifolds, whose Riemann curvature tensor satisfies an almost complex Bianchi-type identity, are considered. Some local and global theorems are proved. The special cases of parakähler manifolds and of Kähler manifolds are examined.
On a Certain Class of Complex Einstein Hypersurfaces in Indefinite Complex Space Forms.
On a Certain Extension of the Class of Semisymmetric Manifolds
On a class of even-dimensional manifolds structured by an affine connection.
On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity
Quasi Einstein manifold is a simple and natural generalization of Einstein manifold. The object of the present paper is to study some properties of generalized quasi Einstein manifolds. We also discuss with space-matter tensor and some properties related to it. Two non-trivial examples have been constructed to prove the existence of generalized quasi Einstein spacetimes.
On a class of Ricci-recurrent manifolds.
On a classification of almost geodesic mappings of affine connection spaces
On a conjecture about the Gauss map of complete spacelike surfaces with constant mean curvature in the Lorentz-Minkowski space.
On a generalized class of recurrent manifolds
The object of the present paper is to introduce a non-flat Riemannian manifold called hyper-generalized recurrent manifolds and study its various geometric properties along with the existence of a proper example.
On a linear family of affine connections.
On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation.