Pseudo-Riemannian VSI spaces II

The main difference between the sub-Riemannian manifold and Riemannian one is the presence of a smooth subbundle of the tangent bundle, generating the entire tangent bundle by means

SPACE IN FARMLAND EAST OF THE HOUSE... SPACE IN THE RUINED SITE NEXT

Unlike the Black Sea region, where Russia has recently used—and continues to use—military force and other means of influence in a concerted effort to redraw

In Chapter 5, Norway’s role in previous international arms reduction processes is discussed, leading to an outline of a possible role for Norway as an NNWS in a future

For any compact Riemannian surface of positive genus, we will construct a flat P 1 bundle over it such that the total space is a projective manifold, and a Stein domain with

The energy preserving discrete gradient methods are generalized to finite-dimensional Riemannian manifolds by definition of a discrete approximation to the Riemannian gradient,

In section 3, we present the discrete Riemannian gradient (DRG) methods, a convergence proof for the family of optimization meth- ods obtained by applying DRG methods to

In Riemannian geometry we can define a unique linear connection, called the Levi-Civita con- nection, which is not necessarily the case in sub-Riemannian geometry.. The uniqueness