Displaying 41 – 60 of 164

Showing per page

From Euler-Lagrange equations to canonical nonlinear connections

Mircea Neagu (2006)

Archivum Mathematicum

The aim of this paper is to construct a canonical nonlinear connection Γ = ( M ( α ) β ( i ) , N ( α ) j ( i ) ) on the 1-jet space J 1 ( T , M ) from the Euler-Lagrange equations of the quadratic multi-time Lagrangian function L = h α β ( t ) g i j ( t , x ) x α i x β j + U ( i ) ( α ) ( t , x ) x α i + F ( t , x ) .

Hodge-Bott-Chern decompositions of mixed type forms on foliated Kähler manifolds

Cristian Ida (2014)

Colloquium Mathematicae

The Bott-Chern cohomology groups and the Bott-Chern Laplacian on differential forms of mixed type on a compact foliated Kähler manifold are defined and studied. Also, a Hodge decomposition theorem of Bott-Chern type for differential forms of mixed type is proved. Finally, the case of projectivized tangent bundle of a complex Finsler manifold is discussed.

Isometry invariant Finsler metrics on Hilbert spaces

Eugene Bilokopytov (2017)

Archivum Mathematicum

In this paper we study isometry-invariant Finsler metrics on inner product spaces over or , i.e. the Finsler metrics which do not change under the action of all isometries of the inner product space. We give a new proof of the analytic description of all such metrics. In this article the most general concept of the Finsler metric is considered without any additional assumptions that are usually built into its definition. However, we present refined versions of the described results for more specific...

Currently displaying 41 – 60 of 164