AbstractThe set of projector frames (i.e. finite sequences of commuting projectors which sum to the identity) can be given a differentiable manifold structure with an affine connection. We compare the resulting geodesic arcs with other naturally arising paths and find them cubically close. We also discuss Riemannian geodesics in an appropriate Hilbert-space context
We define the notion of near geodesic between points where no geodesic exists, and use this to defin...
Let M be a differentiable manifold and denote by nabla and nabla~ two linear connections on M. Nabla...
AbstractWe describe some differential-geometric structures in combinatorial terms: namely affine con...
AbstractProjector n-frames, i.e. decompositions of 1 into n commuting idempotents on a Banach space,...
We study the geudesics, with respect Co the connections for 2-osculating vector fields, a projection...
Geodesics become an essential element of the geometry of a semi-Riemannian manifold. In fact, their ...
Let A be a von Neumann algebra and PA the manifold of projections in A. There is a natural linear co...
Let $V$ be a separable Hilbert space, possibly infinite dimensional. Let $\St(p,V)$ be the Stiefel...
Abstract. In this paper we study fundamental equations of geodesic mappings of manifolds with affine...
This paper is devoted to further study of the theory of geodesic mappings and their generalizations,...
A manifold with an arbitrary affine connection is considered and the geodesic spray associated with ...
Motivated by nonholonomic mechanics, we investigate various aspects of the interplay of an affine co...
summary:N.~S.~Sinyukov [5] introduced the concept of an {\em almost geodesic mapping} of a space $A_...
Let C(H) = B(H) / K(H) be the Calkin algebra (B(H) the algebra of bounded operators on the Hilbert s...
AbstractGiven a complex Hilbert space H, we study the differential geometry of the manifold M of all...
We define the notion of near geodesic between points where no geodesic exists, and use this to defin...
Let M be a differentiable manifold and denote by nabla and nabla~ two linear connections on M. Nabla...
AbstractWe describe some differential-geometric structures in combinatorial terms: namely affine con...
AbstractProjector n-frames, i.e. decompositions of 1 into n commuting idempotents on a Banach space,...
We study the geudesics, with respect Co the connections for 2-osculating vector fields, a projection...
Geodesics become an essential element of the geometry of a semi-Riemannian manifold. In fact, their ...
Let A be a von Neumann algebra and PA the manifold of projections in A. There is a natural linear co...
Let $V$ be a separable Hilbert space, possibly infinite dimensional. Let $\St(p,V)$ be the Stiefel...
Abstract. In this paper we study fundamental equations of geodesic mappings of manifolds with affine...
This paper is devoted to further study of the theory of geodesic mappings and their generalizations,...
A manifold with an arbitrary affine connection is considered and the geodesic spray associated with ...
Motivated by nonholonomic mechanics, we investigate various aspects of the interplay of an affine co...
summary:N.~S.~Sinyukov [5] introduced the concept of an {\em almost geodesic mapping} of a space $A_...
Let C(H) = B(H) / K(H) be the Calkin algebra (B(H) the algebra of bounded operators on the Hilbert s...
AbstractGiven a complex Hilbert space H, we study the differential geometry of the manifold M of all...
We define the notion of near geodesic between points where no geodesic exists, and use this to defin...
Let M be a differentiable manifold and denote by nabla and nabla~ two linear connections on M. Nabla...
AbstractWe describe some differential-geometric structures in combinatorial terms: namely affine con...