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