✦ LIBER ✦

Infinitesimally holomorphic curves in hyperkähler four-manifolds

✍ Scribed by Hiroshi Iriyeh

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 51 KB
Volume: 46
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(02)00002-5

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that closed infinitesimally holomorphic curves in a hyperkähler four-manifold are actually holomorphic with respect to one of the parallel complex structures on the ambient space compatible with the metric.

📜 SIMILAR VOLUMES

On Donaldson’s flow of surfaces in a hyp

On Donaldson’s flow of surfaces in a hyperkähler four-manifold

✍ Jian Song; Ben Weinkove 📂 Article 📅 2007 🏛 Springer-Verlag 🌐 French ⚖ 300 KB

Nonexistence of minimal Lagrangian spher

Nonexistence of minimal Lagrangian spheres in hyperKähler manifolds

✍ Knut Smoczyk 📂 Article 📅 2000 🏛 Springer 🌐 English ⚖ 71 KB

On genericity for holomorphic curves in

On genericity for holomorphic curves in four-dimensional almost-complex manifolds

✍ Helmut Hofer; Véronique Lizan; Jean-Claude Sikorav 📂 Article 📅 1997 🏛 Springer-Verlag 🌐 English ⚖ 505 KB

Vortices in holomorphic line bundles ove

Vortices in holomorphic line bundles over closed Kähler manifolds

✍ Steven B. Bradlow 📂 Article 📅 1990 🏛 Springer 🌐 English ⚖ 845 KB

Interpolation in non-positively curved K

Interpolation in non-positively curved Kähler manifolds

✍ Christophe Mourougane 📂 Article 📅 2003 🏛 Springer-Verlag 🌐 English ⚖ 486 KB

Rigidity of holomorphic curves in comple

Rigidity of holomorphic curves in complex Grassmann manifolds

✍ Xiaoxiang Jiao; Jiagui Peng 📂 Article 📅 2003 🏛 Springer 🌐 English ⚖ 125 KB