3 citations · 8 across the 8 of their papers we have counts for
8 papers
An Almost Contact Structure on -Manifolds
Albert J. Todd
In this article, we study an almost contact metric structure on a -manifold constructed by Arikan, Cho and Salur in via the classification of almost contact metric structures…
Subspaces of Multisymplectic Vector Spaces
Albert J. Todd
A notion of orthogonality in multisymplectic geometry has been developed by Cantrijn, Ibort and de León and used by many authors. In this paper, we review this concept and propose…
Remarks on Hamiltonian Structures in G_2-Geometry
Hyunjoo Cho, Sema Salur, Albert J. Todd
In this article, we treat G_2-geometry as a special case of multisymplectic geometry and make a number of remarks regarding Hamiltonian multivector fields and Hamiltonian different…
Diffeomorphisms of 7-Manifolds with Coclosed G_2-Structure
Sema Salur, Albert J. Todd
We introduce coG_2-vector fields, coRochesterian 2-forms and coRochesterian vector fields on manifolds with a coclosed G_2-structure as a continuous of work from [15], and we show…
A Note on Closed G_2-Structures and 3-Manifolds
Hyunjoo Cho, Sema Salur, Albert J. Todd
This article shows that given any orientable 3-manifold X, the 7-manifold T^*X x R admits a closed G_2-structure varphi=Re(Omega)+omega\wedge dt where Omega is a certain complex-va…
Diffeomorphisms of 7-Manifolds with Closed G_2-Structure
Hyunjoo Cho, Sema Salur, Albert J. Todd
We introduce G_2-vector fields, Rochesterian 1-forms and Rochesterian vector fields on manifolds with a closed G_2-structure as analogues of symplectic vector fields, Hamiltonian f…