On Bismut flat manifolds
From MaRDI portal
Publication:3298979
DOI10.1090/tran/8083zbMath1447.53022arXiv1603.07058OpenAlexW3003411668MaRDI QIDQ3298979
Bo Yang, Qing-song Wang, Fang Yang Zheng
Publication date: 17 July 2020
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.07058
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35) Connections (general theory) (53C05) Linear and affine connections (53B05)
Related Items (21)
On Strominger Kähler-like manifolds with degenerate torsion ⋮ Pluriclosed manifolds with constant holomorphic sectional curvature ⋮ The set of all orthogonal complex structures on the flat 6-tori ⋮ Bismut connection on Vaisman manifolds ⋮ Balanced Hermitian structures on almost abelian Lie algebras ⋮ Canonical metrics on holomorphic Courant algebroids ⋮ Hermitian geometry of Lie algebras with abelian ideals of codimension 2 ⋮ On Hermitian manifolds whose Chern connection is Ambrose-Singer ⋮ Non-Kähler Calabi-Yau geometry and pluriclosed flow ⋮ Strominger connection and pluriclosed metrics ⋮ Almost Hermitian structures defining harmonic maps of the unit tangent bundle ⋮ Some recent progress in non-Kähler geometry ⋮ Lie groups with flat Gauduchon connections ⋮ Some remarks on Hermitian manifolds satisfying Kähler-like conditions ⋮ A new positivity condition for the curvature of Hermitian manifolds ⋮ On the Hermitian structures of the sequence of tangent bundles of an affine manifold endowed with a Riemannian metric ⋮ On Gauduchon Kähler-like manifolds ⋮ Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature ⋮ Scalar curvatures in almost Hermitian geometry and some applications ⋮ On Strominger space forms ⋮ On a variational theorem of Gauduchon and torsion-critical manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity results for pluriclosed flow
- Balanced metrics on non-Kähler Calabi-Yau threefolds
- A Monge-Ampère type fully nonlinear equation on Hermitian manifolds
- Symplectic curvature flow
- Hermitian harmonic maps and non-degenerate curvatures
- On a class of fully nonlinear elliptic equations on Hermitian manifolds
- Twistor geometry and warped product orthogonal complex structures
- The Dolbeault-cohomology ring of a compact, even-dimensional Lie group
- Hermitian manifolds with zero curvature
- Compact hypercomplex and quaternionic manifolds
- A note on flat metric connections with antisymmetric torsion
- Orthogonal complex structures on domains in \(\mathbb R^4\)
- La 1-forme de torsion d'une variété hermitienne compacte
- A local index theorem for non-Kähler manifolds
- Erratum to ``Topology of Hopf surfaces
- Curvatures of left invariant metrics on Lie groups
- Curvature identities for Hermitian and almost Hermitian manifolds
- On the geometry and classification of absolute parallelisms. II
- Gauduchon metrics with prescribed volume form
- On curvature tensors of Hermitian manifolds
- Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics
- Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds
- Form-type Calabi-Yau equations
- The set of all orthogonal complex structures on the flat 6-tori
- Hermitian curvature flow
- The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
- The existence of supersymmetric string theory with torsion
- On the geometry and classification of absolute parallelisms. I
- Complex Monge-Ampère equations and totally real submanifolds
- A class of compact, complex manifolds which are not algebraic
- Non-K\"ahler Calabi-Yau manifolds
- GEOMETRY OF HERMITIAN MANIFOLDS
- Ricci curvatures on Hermitian manifolds
- The complex Monge-Ampère equation on compact Hermitian manifolds
- A Parabolic Flow of Pluriclosed Metrics
- On the Structure of Compact Complex Analytic Surfaces, I
- Closed Manifolds with Homogeneous Complex Structure
- Vanishing theorems on Hermitian manifolds
This page was built for publication: On Bismut flat manifolds
