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Double linear connections

Alena Vanžurová (1991)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Double points on characteristics

Otto Röschel (1995)

Applications of Mathematics

Double Points on Characteristics. A fixed surface Φ of a moving space Σ will envelope a surface of the fixed space Σ ' , if we move Σ with respect to Σ ' . In the general case at each moment of the one-parameter motion there exists a curve c on Φ , along which the position of Φ and the enveloped surface are in contact. In the paper we study the interesting special case, where c has some double point P Φ . This depends on relations between differential geometric properties in the neighbourhood of P of the...

Double vector bundles and duality

Katarzyna Konieczna, Pawel Urbański (1999)

Archivum Mathematicum

The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.

Doubling constant mean curvature tori in S 3

Adrian Butscher, Frank Pacard (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The Clifford tori in S 3 constitute a one-parameter family of flat, two-dimensional, constant mean curvature (CMC) submanifolds. This paper demonstrates that new, topologically non-trivial CMC surfaces resembling a pair of neighbouring Clifford tori connected at a sub-lattice consisting of at least two points by small catenoidal bridges can be constructed by perturbative PDE methods. That is, one can create a submanifold that has almost everywhere constant mean curvature by gluing a re-scaled catenoid...

Doubly warped product Finsler manifolds with some non-Riemannian curvature properties

Esmaeil Peyghan, Akbar Tayebi, Behzad Najafi (2012)

Annales Polonici Mathematici

We consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian if and only if it is Berwaldian. Then we prove that every relatively isotropic Landsberg DWP-manifold is a Landsberg manifold. We show that a relatively isotropic mean Landsberg warped product manifold...

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