Add to ORKGThe Lie jet Lθλ of a field of geometric objects λ on a smooth manifold M with respect to a field θ of Weil A-velocities is a generalization of the Lie derivative Lvλ of a field λ with respect to a vector field v. In this paper, Lie jets Lθλ are applied to the study of A-smooth diffeomorphisms on a Weil bundle TAM of a smooth manifold M, which are symmetries of prolongations of geometric objects from M to TAM. It is shown that vanishing of a Lie jet Lθλ is a necessary and sufficient condition for the prolongation λA of a field of geometric objects λ to be invariant with respect to the transformation of the Weil bundle TAM induced by the field θ. The case of symmetries of prolongations of fields of geometric objects to the second-order tangen...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
summary:The author considers the problem to give explicit descriptions for several types of bundles ...
. The structure of the orbits of prolonged transformation groups on jet spaces is investigated in de...
The Lie jet Lθλ of a field of geometric objects λ on a smooth manifold M with respect to a field θ o...
The Lie jet Lθλ of a field of geometric objects λ on a smooth manifold M with respect to a field θ o...
The Lie jet Lθλ of a field of geometric objects λ on a smooth manifold M with respect to a field θ o...
© 2016, Allerton Press, Inc.Two holomorphic fields of geometric objects on a transverse Weil bundle ...
© 2016, Allerton Press, Inc.Two holomorphic fields of geometric objects on a transverse Weil bundle ...
© 2016, Allerton Press, Inc.Two holomorphic fields of geometric objects on a transverse Weil bundle ...
© 2016, Allerton Press, Inc.Two holomorphic fields of geometric objects on a transverse Weil bundle ...
© 2020, Springer Science+Business Media, LLC, part of Springer Nature. Higher-order partial connecti...
AbstractIn this paper the theory of jets based on Weil's near points is applied to Lie equations and...
summary:Let $F=F^{(A,H,t)}$ and $F^1=F^{(A^1,H^1,t^1)}$ be fiber product preserving bundle functors ...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
summary:The author considers the problem to give explicit descriptions for several types of bundles ...
. The structure of the orbits of prolonged transformation groups on jet spaces is investigated in de...
The Lie jet Lθλ of a field of geometric objects λ on a smooth manifold M with respect to a field θ o...
The Lie jet Lθλ of a field of geometric objects λ on a smooth manifold M with respect to a field θ o...
The Lie jet Lθλ of a field of geometric objects λ on a smooth manifold M with respect to a field θ o...
© 2016, Allerton Press, Inc.Two holomorphic fields of geometric objects on a transverse Weil bundle ...
© 2016, Allerton Press, Inc.Two holomorphic fields of geometric objects on a transverse Weil bundle ...
© 2016, Allerton Press, Inc.Two holomorphic fields of geometric objects on a transverse Weil bundle ...
© 2016, Allerton Press, Inc.Two holomorphic fields of geometric objects on a transverse Weil bundle ...
© 2020, Springer Science+Business Media, LLC, part of Springer Nature. Higher-order partial connecti...
AbstractIn this paper the theory of jets based on Weil's near points is applied to Lie equations and...
summary:Let $F=F^{(A,H,t)}$ and $F^1=F^{(A^1,H^1,t^1)}$ be fiber product preserving bundle functors ...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
summary:The author considers the problem to give explicit descriptions for several types of bundles ...
. The structure of the orbits of prolonged transformation groups on jet spaces is investigated in de...