Ralph R. Gomez

activity

20092022

most citedLorentzian Sasaki-Einstein Metrics on Connected Sums of

S^{2} \times S^{3}

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2022

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 $n - 1$ -dimensional Calabi-Yau orbifold in weighted projective space defined by an invertible…

math.DG2013

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 $M .$ It has already been established in \cite{Gmz2} that such metrics exist o…

math.DG2009★ 1 cited

Lorentzian Sasaki-Einstein Metrics on Connected Sums of $S^{2} \times S^{3}$

Ralph R. Gomez

Negative Sasakian manifolds, where the first Chern class of the contact subbundle is a torsion class, can be viewed as Seifert- $S^{1}$ bundles where the base orbifold has an ample or…

Berglund-Hübsch Transpose Rule and Sasakian Geometry

A Note on Smale Manifolds and Lorentzian Sasaki-Einstein Geometry

Lorentzian Sasaki-Einstein Metrics on Connected Sums of S2×S3

Lorentzian Sasaki-Einstein Metrics on Connected Sums of $S^{2} \times S^{3}$