We define the notion of connection and curvature of the connection. In the absence of a metric, we can define curvature of a manifold via Cartan connection
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
International audienceWe classify compact manifolds of dimension three equipped with a path structur...
Consider Cn spaces where the exterior differentiation of a vector basis of C2 functions leads to a C...
The curvature tensor measures the extent to which covariant differentiation on manifolds differs fro...
The curvature tensor measures the extent to which covariant differentiation on manifolds differs fro...
summary:Summary: Geometrical concepts induced by a smooth mapping $f:M\to N$ of manifolds with linea...
summary:We discuss Riemannian metrics compatible with a linear connection that has regular curvature...
This thesis considers the problem of prescribing curvature for connections on principal bundles. As ...
Summary: The concept of semi-symmetric non-metric connection on a Riemannian manifold has been intro...
We continue our systematic development of noncommutative and nonassociative differential geometry in...
Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry ...
We continue our systematic development of noncommutative and nonassociative differential geometry in...
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
International audienceWe classify compact manifolds of dimension three equipped with a path structur...
Consider Cn spaces where the exterior differentiation of a vector basis of C2 functions leads to a C...
The curvature tensor measures the extent to which covariant differentiation on manifolds differs fro...
The curvature tensor measures the extent to which covariant differentiation on manifolds differs fro...
summary:Summary: Geometrical concepts induced by a smooth mapping $f:M\to N$ of manifolds with linea...
summary:We discuss Riemannian metrics compatible with a linear connection that has regular curvature...
This thesis considers the problem of prescribing curvature for connections on principal bundles. As ...
Summary: The concept of semi-symmetric non-metric connection on a Riemannian manifold has been intro...
We continue our systematic development of noncommutative and nonassociative differential geometry in...
Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry ...
We continue our systematic development of noncommutative and nonassociative differential geometry in...
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
International audienceWe classify compact manifolds of dimension three equipped with a path structur...
Consider Cn spaces where the exterior differentiation of a vector basis of C2 functions leads to a C...