EuDML | Browse

The KV-homology theory is a new framework which yields interesting properties of lagrangian foliations. This short note is devoted to relationships between the KV-homology and the KV-cohomology of a lagrangian foliation. Let us denote by $_{F}$ (resp. $V^{F}$ ) the KV-algebra (resp. the space of basic functions) of a lagrangian foliation F. We show that there exists a pairing of cohomology and homology to $V^{F}$ . That is to say, there is a bilinear map $H^{q} (_{F}, V^{F}) \times H_{q} (_{F}, V^{F}) \to V^{F}$ , which is invariant under F-preserving symplectic diffeomorphisms....

Some liftings of Poisson structures to Weil bundles

Jacek Dębecki (2006)

Czechoslovak Mathematical Journal

We establish a formula for the Schouten-Nijenhuis bracket of linear liftings of skew-symmetric tensor fields to any Weil bundle. As a result we obtain a construction of some liftings of Poisson structures to Weil bundles.

Some Lower Bounds for the Area of Surfaces.

James J. Hebda (1981/1982)

Inventiones mathematicae

Some maximal graduation classes and their Riemannian properties

Iulian Popovici, Radu Iordanescu, Adriana Turtoi (1971)

Archivum Mathematicum

Some modified connection structures associated with the Finslerian gravitational field.

Ikeda, Satoshi, Anastasiei, Mihai (2006)

Balkan Journal of Geometry and its Applications (BJGA)

Some Moebius-geometric theorems connected to Euclidean kinematics.

Weiss, Gunter, Nestler, Karla, Meinl, Gert (1999)

Journal for Geometry and Graphics

Some Natural Constructions on Vector Fields and Higher Order Cotangent Bundles.

W.M. Mikulski (1994)

Monatshefte für Mathematik

Some natural operations between connections on fibred manifolds

Doupovec, Miroslav, Vondra, Alexandr (1996)

Proceedings of the Winter School "Geometry and Physics"

Given a fibered manifold $Y \to X$ , a 2-connection on $Y$ means a section $J^{1} Y \to J^{2} Y$ . The authors determine all first order natural operators transforming a 2-connection on $Y$ and a classical linear connection on $X$ into a connection on $J^{1} Y \to Y$ . (The proof implies that there is no first order natural operator transforming 2-connections on $Y$ into connections on $J^{1} Y \to Y$ .) Using this result, the authors deduce several properties of characterizable connections on $J^{1} Y \to X$ .

Some natural operators on vector fields

Jiří M. Tomáš (1995)

Archivum Mathematicum

We determine all natural operators transforming vector fields on a manifold $M$ to vector fields on $T^{*} T_{1}^{2} M$ , $dim M \geq 2$ , and all natural operators transforming vector fields on $M$ to functions on $T^{*} T T_{1}^{2} M$ , $dim M \geq 3$ . We describe some relations between these two kinds of natural operators.

Some new conformal covariants.

Wünsch, V. (2000)

Zeitschrift für Analysis und ihre Anwendungen

Some nonexistence theorems on stable minimal submanifolds

Haizhong Li (1997)

Colloquium Mathematicae

We prove that there exist no stable minimal submanifolds in some n-dimensional ellipsoids, which generalizes J. Simons' result about the unit sphere and gives a partial answer to Lawson–Simons' conjecture.

Some non-linear function theoretic properties of Riemannian manifolds.

Stefano Pigola, Marco Rigoli, Alberto G. Setti (2006)

Revista Matemática Iberoamericana

We study the appropriate versions of parabolicity stochastic completeness and related Liouville properties for a general class of operators which include the p-Laplace operator, and the non linear singular operators in non-diagonal form considered by J. Serrin and collaborators.

Some Nonsemisymmetric Ricci-semisymmetric Warped Product Hypersurfaces

Ryszard Deszcz, Malgorzata Glogowska (2002)

Publications de l'Institut Mathématique

Currently displaying 261 – 280 of 864

Previous Page 14 Next