Non-associative geometry and discrete structure of spacetime
A new mathematical theory, non-associative geometry, providing a unified algebraic description of continuous and discrete spacetime, is introduced.
Noncoercive differential operators on homogeneous manifolds of negative curvature and their Green functions
We obtain upper and lower estimates for the Green function for a second order noncoercive differential operator on a homogeneous manifold of negative curvature.
Non-commutative Gauss map
Noncommutative root space Witt, Ricci flow, and Poisson bracket continual Lie algebras.
Non-compact cohomogeneity one Einstein manifolds
Non-degenerate hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection
We derive the equations of Gauss and Weingarten for a non-degenerate hypersurface of a semi-Riemannian manifold admitting a semi-symmetric metric connection, and give some corollaries of these equations. In addition, we obtain the equations of Gauss curvature and Codazzi-Mainardi for this non-degenerate hypersurface and give a relation between the Ricci and the scalar curvatures of a semi-Riemannian manifold and of its a non-degenerate hypersurface with respect to a semi-symmetric metric connection....
Non-Euclidean structures as internal variables in non-equilibrium thermomechanics.
Non-existence of almost Kähler structure on hyperbolic spaces of dimension 2n(...4).
Non-existence of Continuous Convex Functions on Certain Riemannian Manifolds.
Non-existence of proper semi-invariant submanifolds of a Lorentzian para-Sasakian manifold.
Non-existence of real lightlike hypersurfaces of an indefinite complex space form.
Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension .
Non-existence of some canonical constructions on connections
For a vector bundle functor with the point property we prove that is product preserving if and only if for any and there is an -natural operator transforming connections on -dimensional fibered manifolds into connections on . For a bundle functor with some weak conditions we prove non-existence of -natural operators transforming connections on -dimensional fibered manifolds into connections on .
Nonholonomic approach of multitime maximum principle.
Nonholonomic frames in Finsler geometry.
Nonholonomic tangent spaces: intrinsic construction and rigid dimensions.
Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues
We extend a construction by K. Yamato [Ya] to obtain new explicit examples of Riemannian 3-manifolds as in the title. Some of these examples have an interesting geometrical interpretation.
Non-hyperbolic closed geodesics.
Nonlinear connections and semisprays on tangent manifolds.
Nonlinear connections and spinor geometry.