On a remarkable class of paracontact metric manifolds

Abstract

We study a remarkable class of paracontact metric manifolds which have no contact metric counterpart: the paracontact metric $(-1,\tilde{\mu })$-spaces which are not paraSasakian (i.e. have $\tilde{h}\ne 0$). We present explicit examples with $\tilde{h}$ of every possible constant rank and some with non-constant rank, which were not known to exist until recently.

5 pages, a short review of previous papers in the field

References in corpus (2)

• Nullity conditions in paracontact geometry
• Local classification and examples of an important class of paracontact metric manifolds