AbstractThe synthetic treatment of nonlinear connections is given. Synthetic nonlinear connections are shown to be no other than Ehresmann connections on tangent bundles. Their relation to semisprays (= second-order differential equations) is discussed. A nice nonlinear generalization of torsion form already discussed in the context of synthetic linear connections is given, and its properties are developed
summary:Summary: Geometrical concepts induced by a smooth mapping $f:M\to N$ of manifolds with linea...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
AbstractThe synthetic treatment of nonlinear connections is given. Synthetic nonlinear connections a...
A linear connection is associated with a nonlinear connection on a vector bundle by a linearization ...
We show that locally diffeomorphic exponential maps can be defined for any second-order differential...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
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...
AbstractWe describe some differential-geometric structures in combinatorial terms: namely affine con...
AbstractFor a system of second order differential equations we determine a nonlinear connection that...
0. Introduction. Dierential-geometric structures are usually dened in terms of highly nonlinear part...
AbstractWe study a natural generalization of the concepts of torsion and Ricci tensor for a non- lin...
summary:Summary: Geometrical concepts induced by a smooth mapping $f:M\to N$ of manifolds with linea...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
AbstractThe synthetic treatment of nonlinear connections is given. Synthetic nonlinear connections a...
A linear connection is associated with a nonlinear connection on a vector bundle by a linearization ...
We show that locally diffeomorphic exponential maps can be defined for any second-order differential...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
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...
AbstractWe describe some differential-geometric structures in combinatorial terms: namely affine con...
AbstractFor a system of second order differential equations we determine a nonlinear connection that...
0. Introduction. Dierential-geometric structures are usually dened in terms of highly nonlinear part...
AbstractWe study a natural generalization of the concepts of torsion and Ricci tensor for a non- lin...
summary:Summary: Geometrical concepts induced by a smooth mapping $f:M\to N$ of manifolds with linea...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
DOI
Add to ORKG