2 citations · 2 across the 4 of their papers we have counts for
4 papers
D-homothetically fixed, weakly -structures on contact metric spaces
Philippe Rukimbira
Contact metric -spaces are generalizations of Sasakian spaces. We introduce a weak condition as a generalization of the K-contact one and show that many of the known…
Isoparametric functions and harmonic unit vector fields in K-contact geometry
Philippe Rukimbira
We provide some examples of harmonic unit vector fields as normalized gradients of isoparametric functions from a K-contact geometry setting.
Sasakian metrics with an additional contact structure
Tedi Draghici, Philippe Rukimbira
The question of whether a Sasakian metric can admit an additional compatible (K-)contact structure is addressed. In the complete case if the second structure is also assumed Sasaki…
Contact deformations of closed 1-forms on Torus bundles over the circle
Hamidou Dathe, Philippe Rukimbira
If a closed 3-manifold M supports a closed, nonsingular, irrational 1-form which linearly deforms into contact forms, then M supports a K-contact form. On the 3-torus, a closed non…