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On line bundles arising from the LCK structure over locally conformal Kähler solvmanifolds

Complex Manifolds
We can construct a real line bundle arising from the locally conformal Kähler (LCK) structure over an LCK manifold. We study the properties of this line bundle over an LCK solvmanifold whose complex structure is left-invariant. Mainly, we prove that this
Yamada Takumi
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Complex structures on product manifolds

Complex Manifolds
Let Mi{M}_{i}, for i=1i=1, 2, be a Kähler manifold, and let GG be a compact Lie group acting on Mi{M}_{i} by Kähler isometries. Suppose that the action admits a momentum map μi{\mu }_{i}, and let Ni≔μi−1(0){N}_{i}:= {\mu }_{i}^{-1}\left(0) be a regular ...
Biliotti Leonardo, Minuzzo Alessandro
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Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let (M, g, ∇) be a 2n-dimensional quasi-statistical manifold that admits a pseudo-Riemannian metric g (or h) and a linear connection ∇ with torsion. This paper aims to study an almost Hermitian structure (g, J ) and an almost anti-Hermitian structure (h,
Aktaş Buşra, Gezer Aydin, Durmaz Olgun
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Holomorphic Sectional Curvature of Complex Finsler Manifolds. [PDF]