Nonlinear connections and semisprays on tangent manifolds.
Nonlinear connections and spinor geometry.
Nonlinear connections on dual Lie algebroids.
Nonlinear dynamical systems and KCC-theory.
Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations.
Non-minimal Yang-Mills fields and dynamics.
Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres
In contrast to the homogeneous case, we show that there are compact cohomogeneity one manifolds that do not support invariant metrics of non-negative sectional curvature. In fact we exhibit infinite families of such manifolds including the exotic Kervaire spheres. Such examples exist for any codimension of the singular orbits except for the case when both are equal to two, where existence of non-negatively curved metrics is known.
Nonnegatively Curved Totally Real Submanifolds.
Nonnegativity for the Curvature Operator and Isotropy for Isometric Immersions.
Non-parametric convex hypersurfaces with a curvature restriction
Non-periodic solutions to relativistic field equations : hyperbolic case
Nonpositively curved metrics on 2-polyhedra.
Non-rational minimal spheres and minimizing cones.
Nonrational, nonsimple convex polytopes in symplectic geometry.
Non-Realizable CR Structures.
Nonresonance conditions for arrangements
We prove a vanishing theorem for the cohomology of the complement of a complex hyperplane arrangement with coefficients in a complex local system. This result is compared with other vanishing theorems, and used to study Milnor fibers of line arrangements, and hypersurface arrangements.
Non-Riemannian gravitational interactions
Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in terms of the divergence of the Einstein tensor associated with a general connection. In the absence of matter the variational equations associated with a broad class of actions involving non-Riemannian fields give rise to an Einstein-Proca system associated with the standard Levi-Civita connection.
Non-split almost complex and non-split Riemannian supermanifolds
Non-split almost complex supermanifolds and non-split Riemannian supermanifolds are studied. The first obstacle for a splitting is parametrized by group orbits on an infinite dimensional vector space. For almost complex structures, the existence of a splitting is equivalent to the existence of local coordinates in which the almost complex structure can be represented by a purely numerical matrix, i.e. containing no Grassmann variables. For Riemannian metrics, terms up to degree 2 are allowed in...
Non-standard Einstein extensions of five dimensional nilpotent metric Lie algebras.
Nonstandard uniformized conformal structures on hyperbolic manifolds.