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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 $ψ\in \mbox{Aut}(TM)$ for which the Kähler form is invariant. Us…
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 $(M,…