Generalized Kähler Manifolds, Commuting Complex Structures, and Split Tangent Bundles

By V. Apostolov, M. Gualtieri. 2007

80 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a2cb9df78a515ccb28c3b6943cfcdb87ac5fe0c1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Luigi Vezzoni
2. Anna Fino
3. Nicola Enrietti
4. M. Gualtieri
5. G. Cavalcanti
6. J. Jordan
7. M. Garcia‐Fernandez
8. Jeffrey Streets

In Geometry and Topology

1. Anna Fino
2. Luigi Vezzoni
3. G. Cavalcanti
4. Nicola Enrietti
5. J. Jordan
6. M. Garcia‐Fernandez
7. M. Gualtieri
8. Jeffrey Streets

In Statistical and Nonlinear Physics

1. Anna Fino
2. M. Gualtieri
3. J. Jordan
4. M. Garcia‐Fernandez
5. Jeffrey Streets
6. G. Cavalcanti
7. R. Mehta
8. O. Hohm

Citations in the corpus

• Non-Kähler Calabi-Yau geometry and pluriclosed flow (2021, background): “Therefore, a classification of generalized Kähler structures of the form (g, I, J) where (M,J) ∼= Mαβ follows from [5, 31].”
• Generalized Kähler Geometry (2010, methodology): “Note that the complex structures I± happen to commute, a special case studied in [4].”
• Generalized complex geometry and T-duality (2011, background): “The real distributions S± = {v ∈ TM : J+v = ±J−v} are integrable [1], yielding a pair of transverse foliations for M .”
• A correction to “Tamed symplectic forms and strong Kähler with torsion metrics” (2012, background): “SKT metrics have a central role in type II string theory, in two-dimensional supersymmetric σ-models (see [17, 40]) and they also have relations with generalized Kähler geometry (see for instance [1, 5, 14, 17, 22, 26]).”