7 citations · 14 across the 5 of their papers we have counts for
6 papers
Berglund-Hübsch Transpose Rule and Sasakian Geometry
Ralph R. Gomez
We apply the Berglund-Hübsch transpose rule from BHK mirror symmetry to show that to an -dimensional Calabi-Yau orbifold in weighted projective space defined by an invertible…
Sasaki-Einstein 7-Manifolds, Orlik Polynomials and Homology
Ralph R. Gomez
Let be a link of an isolated hypersurface singularity defined by a weighted homogenous polynomial In this article, we give ten examples of -connected seven dimensiona…
Generalized CoKähler Geometry and an Application to Generalized Kähler Structures
Ralph R. Gomez, Janet Talvacchia
In this paper we define the notion of a generalized coKähler structure and prove that the product of generalized contact metric manifolds $(M_i, Φ_i,E_{\pm,i},…
On Products of Generalized Geometries
Ralph R. Gomez, Janet Talvacchia
In this paper we address what generalized geometric structures are possible on products of spaces that each admit generalized geometries. In particular we consider, first, the prod…
A Note on Smale Manifolds and Lorentzian Sasaki-Einstein Geometry
Ralph R. Gomez
In this note, we construct new examples of Lorentzian Sasaki-Einstein (LSE) metrics on Smale manifolds It has already been established in \cite{Gmz2} that such metrics exist o…
Lorentzian Sasaki-Einstein Metrics on Connected Sums of
Ralph R. Gomez
Negative Sasakian manifolds, where the first Chern class of the contact subbundle is a torsion class, can be viewed as Seifert- bundles where the base orbifold has an ample or…