On tangent sphere bundles with small or large constant radius

O Kowalski, M Sekizawa - Annals of Global Analysis and Geometry, 2000 - Springer
On Tangent Sphere Bundles with Small or Large Constant Radius Page 1 Annals of Global
Analysis and Geometry 18: 207–219, 2000. © 2000 Kluwer Academic Publishers. Printed in the …

Paracontact metric structures on the unit tangent sphere bundle

G Calvaruso, V Martín-Molina - Annali di Matematica Pura ed Applicata …, 2015 - Springer
Starting from g g-natural pseudo-Riemannian metrics of suitable signature on the unit
tangent sphere bundle T_1 MT 1 M of a Riemannian manifold (M, ⟨, ⟩)(M,⟨,⟩), we construct …

[PDF][PDF] Semi-symmetric contact metric three-manifolds

G Calvaruso, D Perrone - … Journal= 横濱市立大學紀要. D 部門 …, 2002 - ynu.repo.nii.ac.jp
SEMI-SYMMETRIC CONTACT METRIC Page 1 YOKOHAMA MATHEMATICAL JOURNAL VOL.
49, 2002 SEMI-SYMMETRIC CONTACT METRIC THREE-MANIFOLDS By G. CALVARUSO …

g-Natural Contact Metrics on Unit Tangent Sphere Bundles

MTK Abbassi, G Calvaruso - Monatshefte für Mathematik, 2007 - Springer
We construct a three-parameter family of contact metric structures on the unit tangent sphere
bundle T 1 M of a Riemannian manifold M and we study some of their special properties …

[HTML][HTML] Naturality of homogeneous metrics on Stiefel manifolds SO (m+ 1)/SO (m− 1)

MTK Abbassi, O Kowalski - Differential Geometry and its Applications, 2010 - Elsevier
It is well known that the unit tangent sphere bundle T1Sm of the standard sphere Sm can be
naturally identified with the Stiefel manifold V2Rm+ 1= SO (m+ 1)/SO (m− 1). In this paper …

Contact pseudo-metric manifolds of constant curvature and CR geometry

D Perrone - Results in Mathematics, 2014 - Springer
In this paper, we show that if an integrable contact pseudo-metric manifold of dimension 2
n+ 1, n≥ 2, has constant sectional curvature κ κ, then the structure is Sasakian and κ= ε= g …

ON -NATURAL METRICS WITH CONSTANT SCALAR CURVATURE ON UNIT TANGENT SPHERE BUNDLES

MT KADAOUI ABBASSI… - Topics in Almost Hermitian …, 2005 - World Scientific
Let (M, g) be a Riemannian manifold, TM its tangent bundle and T1M its unit tangent sphere
bundle. The family of all Riemannian g-natural metrics G on TM have been determined by …

On the classification of contact Riemannian manifolds satisfying the condition (C)

JT CHO, SUNH CHUN - Glasgow Mathematical Journal, 2003 - cambridge.org
ON THE CLASSIFICATION OF CONTACT RIEMANNIAN MANIFOLDS SATISFYING THE
CONDITION (C) Page 1 Glasgow Math. J. 45 (2003) 475–492. C 2003 Glasgow …

Homogeneous and H-contact unit tangent sphere bundles

G Calvaruso, D Perrone - Journal of the Australian Mathematical …, 2010 - cambridge.org
We prove that all g-natural contact metric structures on a two-point homogeneous space are
homogeneous contact. The converse is also proved for metrics of Kaluza–Klein type. We …

When is the unit tangent sphere bundle semi-symmetric?

E Boeckx, G Calvaruso - Tohoku Mathematical Journal, Second …, 2004 - jstage.jst.go.jp
We prove that the unit tangent sphere bundle of a Riemannian manifold is semi-symmetric if
and only if it is locally symmetric, ie, the base manifold is either flat or it is two-dimensional …