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math.DG2024
Samelson complex structures for the tangent Lie group
David N. Pham
It is shown that for any compact Lie group (odd or even dimensional), the tangent bundle admits a left-invariant integrable almost complex structure, where the Lie group s…
math.DG2017★ 1 cited
-quasi-Frobenius Lie algebras
David N. Pham
A Lie version of Turaev's -Frobenius algebras from 2-dimensional homotopy quantum field theory is proposed. The foundation for this Lie version is a structure we call…
math.DG2012
Generalized de Sitter Space in -dimensional Minkowski Space
David N. Pham
In this paper, we generalize the defining equation for de Sitter space by replacing the de Sitter radius with a function satisfying certain conditions; each resulting hypersurf…