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23 papers · 1 filter
Elliptic open books on torus bundles over the circle
Tolga Etgü
As an application of the construction of open books on plumbed 3-manifolds, we construct elliptic open books on torus bundles over the circle. In certain cases these open books are…
Degenerate Spin Structures and the Levy-Leblond Equation
T. Dereli, S. Kocak, M. Limoncu
Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor. Newton-Cartan connection is lifted to the degenerate spinor bundle ove…
Plane Symmetric Solutions of Gravitational Field Equations in Five Dimensions
A. N. Aliev, H. Cebeci, T. Dereli
We present the effective field equations obtained from a generalized gravity action with Euler-Poincare term and a cosmological constant in a dimensional bulk space-time. A cla…
New Perspectives On the Relevance of Gravitation for the Covariant Description of Electromagnetically Polarizable Media
T. Dereli, J. Gratus, R. W. Tucker
Electromagnetic properties of a simple polarisable medium may be parameterised in terms of a constitutive tensor whose properties can in principle be determined by experiments in n…
Surgery diagrams for horizontal contact structures
Burak Ozbagci
We describe Legendrian surgery diagrams for some horizontal contact structures on non-positive plumbing trees of oriented circle bundles over spheres with negative Euler numbers. A…
The Covariant Description of Electromagnetically Polarizable Media
T. Dereli, J. Gratus, R. W. Tucker
The form of the phenomenological stress-energy-momentum tensor for the electromagnetic field in a class of inhomogeneous, anisotropic magneto-electric media is calculated from firs…