Klinker, Frank
Published in
Communications in Mathematical Physics

In this text we combine the notions of supergeometry and supersymmetry. We construct a special class of supermanifolds whose reduced manifolds are (pseudo-) Riemannian manifolds. These supermanifolds allow us to treat vector fields on the one hand and spinor fields on the other hand as equivalent geometric objects. This is the starting point of our...

Langezaal, Maikel (author)

The use of tangential vector fields and thus the need for designing them has steadily been increasing over the years. In this master thesis, a method is proposed and implemented that defines localized tangential vector fields on a mesh surface, which allows for the designing of vector fields on the triangulated surfaces of these meshes. Similarly, ...

Sharma, Suresh (author)

This work presents a vector field based path following method to be used by Multirotor Unmanned Aerial Vehicles (UAVs). The desired path to be followed is a smooth planar path defined in its implicit form. The vector field around the desired path is then constructed using the implicit function, such that the integral curves of the vector field conv...

Akarsu, Özgür Boran, Sibel Kahya, Emre Onur Özdemir, Neşe Ozkan, Mehmet
Published in
The European Physical Journal C

We show that if the α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}-attractor model is realized by the spontaneous breaking of the scale symmet...

Momeni, Davood Faizal, Mir Myrzakulov, Kairat Myrzakulov, Ratbay
Published in
The European Physical Journal C

In this paper, we will analyze a theory of modified gravity, in which the field content of general relativity will be increased to include a vector field. We will use the Horndeski formalism to non-minimally couple this vector field to the metric. As we will be using the Horndeski formalism, this theory will not contain Ostrogradsky ghost degree of...

Bhattacharya, Sourav
Published in
The European Physical Journal C

A de Sitter black hole or a black hole spacetime endowed with a positive cosmological constant has two Killing horizons—a black hole and a cosmological event horizon surrounding it. It is natural to expect that the total Bekenstein–Hawking entropy of such spacetimes should be the sum of the two horizons’ areas. In this work we apply the recently de...

Gough, J. Ratiu, T. S. Smolyanov, O. G.
Published in
Doklady Mathematics

Connections between quantum anomalies and transformations of pseudomeasures of the type of Feynman pseudomeasures are studied. Mathematical objects related to the notion of the volume element in an infinite-dimensional space considered in the physics literature [1] are discussed.

Ivanov, V. E.
Published in
Technical Physics

It is demonstrated that singularities (with different topological indices) of the projection of a nonuniform magnetic field onto the plane of the magneto-optical indicator film are imaged as singularities of the magneto-optical image related to variations in the orientation of angular dependences of image intensity on the circles with the given rad...

Hearst, R. J. Ganapathisubramani, B.
Published in
Experiments in Fluids

A quantification metric is provided to determine the degree to which a particle image velocimetry data set is pixel-locked. The metric is calculated by integrating the histogram equalization transfer function and normalizing by the worst-case scenario to return the percentage pixel-locked. When this metric is calculated for each position in the vec...

Chen, Xiaoyang
Published in
Mathematische Zeitschrift

We show that under certain conditions, a nontrivial Riemannian submersion from positively curved four manifolds does not exist. This gives a partial answer to a conjecture due to Fred Wilhelm. We also prove a rigidity theorem for Riemannian submersions with totally geodesic fibers from compact four-dimensional Einstein manifolds.