A hyperbolic twistor space.
Special directions in complex contact manifolds.
Conformally Anosov flows in contact metric geometry.
Special directions on contact metric manifolds of negative -sectional curvature
-homothetic Warping
Conformal and related changes of metric on the product of two almost contact metric manifolds.
This paper studies conformal and related changes of the product metric on the product of two almost contact metric manifolds. It is shown that if one factor is Sasakian, the other is not, but that locally the second factor is of the type studied by Kenmotsu. The results are more general and given in terms of trans-Sasakian, α-Sasakian and β-Kenmotsu structures.
Geometry of manifolds which admit conservation laws
Let be an -dimensional Riemannian manifold admitting a covariant constant endomorphism of the localized module of 1-forms with distinct non-zero eigenvalues. After it is shown that is locally flat, a manifold immersed in is studied. The manifold has an induced structure with of the same eigenvalues if and only if the normal to is a fixed direction of . Finally conditions under which is invariant under , is totally geodesic and the induced structure has vanishing Nijenhuis...
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