11 research outputs found
A note on almost Trans-1-Golden submersions
In this Note, two types of submersions whose total space is an almost trans-1-Golden manifold are studied. The study focuses on the transference of structures from the total space to the base one and the the geometry of the fibers
A Note on Riemannian Submersions with Umbilical Fibres
In this paper, we discuss some geometric properties of Riemannian submersions whose fibres are totally contact umbilical. Some interrelations between totally contact umbilic, totally geodesic and minimality are established
Killing-Yano tensors and some applications
The role of Killing and Killing-Yano tensors for studying the geodesic motion
of the particle and the superparticle in a curved background is reviewed.
Additionally the Papadopoulos list [74] for Killing-Yano tensors in G
structures is reproduced by studying the torsion types these structures admit.
The Papadopoulos list deals with groups G appearing in the Berger
classification, and we enlarge the list by considering additional G structures
which are not of the Berger type. Possible applications of these results in the
study of supersymmetric particle actions and in the AdS/CFT correspondence are
outlined.Comment: 36 pages, no figure
Riemannian submersions from almost contact metric manifolds
In this paper we obtain the structure equation of a contact-complex
Riemannian submersion and give some applications of this equation in the study
of almost cosymplectic manifolds with Kaehler fibres.Comment: Abh. Math. Semin. Univ. Hamb., to appea
Almost contact metric submersions and curvature tensors
It is known that L. Vanhecke, among others geometers, has studied curvature
properties both on almost Hermitian and almost contact metric manifolds.
The purpose of this paper is to interrelate these properties within the
theory of almost contact metric submersions. So, we examine the following
problem: Let f : M -> B be an almost contact metric submersion . Suppose
that the total space is a C(alpha)-manifold. What curvature properties do have
the fibres or the base space
Almost contact metric submersions and curvature tensors
It is known that L. Vanhecke, among others geometers, has studied curvature properties both on almost Hermitian and almost contact metric manifolds. The purpose of this paper is to interrelate these properties within the theory of almost contact metric submersions. So, we examine the following problem: Let f : M −→ B be an almost contact metric submersion. Suppose that the total space is a C(α)-manifold. What curvature properties do have the fibres or the base space?peerReviewe
The differential geometry of almost Hermitian almost contact metric submersions
Three types of Riemannian submersions whose total space is an
almost Hermitian almost contact metric manifold are studied. The
study is focused on fundamental properties and the transference
of structures