Results 31 to 40 of about 148,144 (172)

Kähler magnetic fields on Kähler manifolds of negative curvature [PDF]

, 2011
On a Kähler manifold we have natural uniform magnetic fields which are constant multiples of the Kähler form. Trajectories, which are motions of electric charged particles, under these magnetic fields can be considered as generalizations of geodesics. We
Adachi, Toshiaki, Toshiaki Adachi
core   +1 more source

Singularity of non‐pluripolar cohomology classes

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We establish a relation between Lelong numbers and the full mass property of relative non‐pluripolar products. We use this relation to prove that if the restricted volume of a big class α$\alpha$ along an effective divisor D$D$ has full mass, then the Lelong numbers of the non‐pluripolar class ⟨αn−1⟩$\langle \alpha ^{n-1}\rangle$ at every ...
Duc‐Bao Nguyen, Shuang Su, Duc‐Viet Vu   +2 more
wiley   +1 more source

Deformation of Kähler Metrics and an Eigenvalue Problem for the Laplacian on a Compact Kähler Manifold [PDF]

We study an eigenvalue problem for the Laplacian on a compact Kähler manifold. Considering the $k$-th eigenvalue $λ_{k}$ as a functional on the space of Kähler metrics with fixed volume on a compact complex manifold, we introduce the notion of $λ_{k ...
Narita, Kazumasa
core   +1 more source

Some Properties of Curvature Tensors and Foliations of Locally Conformal Almost Kähler Manifolds

International Journal of Mathematics and Mathematical Sciences, 2021
We investigate a class of locally conformal almost Kähler structures and prove that, under some conditions, this class is a subclass of almost Kähler structures.
Ntokozo Sibonelo Khuzwayo, Fortuné Massamba   +1 more
doaj   +1 more source

Simple homotopy theory for Fukaya categories

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source

Conification of Kähler and Hyper-Kähler Manifolds

, 2013
Given a Kähler manifold M̂ endowed with a Hamiltonian Killing vector field Z, we construct a conical Kähler manifold M̂ such that M is recovered as a Kähler quotientof M̂.
D. V. Alekseevsky, V. Cortés, Mohaupt, T, T. Mohaupt, Cortés, V, Alekseevsky, DV   +5 more
core   +1 more source

Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14

Mathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley   +1 more source

On the Kähler-likeness on almost Hermitian manifolds

Complex Manifolds, 2019
We define a Kähler-like almost Hermitian metric. We will prove that on a compact Kähler-like almost Hermitian manifold (M2n, J, g), if it admits a positive ∂ ̄∂-closed (n − 2, n − 2)-form, then g is a quasi-Kähler metric.
Kawamura Masaya
doaj   +1 more source

Almost-complex invariants of families of six-dimensional solvmanifolds

Complex Manifolds, 2022
We compute almost-complex invariants h∂¯p,oh_{\bar \partial }^{p,o}, hDolp,oh_{Dol}^{p,o} and almost-Hermitian invariants hδ¯p,oh_{\bar \delta }^{p,o} on families of almost-Kähler and almost-Hermitian 6-dimensional solvmanifolds.
Tardini Nicoletta, Tomassini Adriano
doaj   +1 more source

On some compact almost Kähler locally symmetric space

International Journal of Mathematics and Mathematical Sciences, 1998
In the framework of studying the integrability of almost Kähler manifolds, we prove that if a compact almost Kähler locally symmetric space M is a weakly ,∗-Einstein vnanifold with non-negative ,∗-scalar curvature, then M is a Kähler manifold.
Takashi Oguro
doaj   +1 more source