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math.DG2026
On a Theorem of Wang for Complex Homogeneous Manifolds
David N. Pham
In \cite{Wang1954}, Wang proved (among other things) a sufficiency result for a compact homogeneous manifold to admit a -invariant complex structure. In this note, we give…
math.DG2026
On the Chern-Ricci form of a twisted almost Kähler structure
David N. Pham, Fei Ye
Let be an almost Kähler manifold. For any smooth function on , one can associate an automorphism $Ï\in \mbox{Aut}(TM)$ for which the Kähler form is invariant…
math.DG2026
Twists, Codazzi Tensors, and the -sphere
David N. Pham
Let be an almost Hermitian manifold. Given an automorphism , the existing structure can be twisted to obtain a new almost Hermitian manifold $(…
math.DG2024
Left invariant nearly pseudo-Kähler structures and the tangent lie group
David N. Pham
Let be a Lie group, and let be a left invariant almost pseudo-Hermitian structure on . It is shown that if is also nearly pseudo-Kähler, then the tangent bu…