An inclusive immersion into a quaternionic manifold and its invariants

DOI10.1007/s00229-017-0928-5zbMath1381.53083OpenAlexW2595636260MaRDI QIDQ1679203

Kazuyuki Hasegawa

Publication date: 8 November 2017

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-017-0928-5

zbMATH Keywords

minimal surfacesWillmore functionaltwistor spacequaternionic manifolds

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor methods in differential geometry (53C28)

Cites Work

• Quaternionic structures on a manifold and subordinated structures
• On surfaces whose twistor lifts are harmonic sections
• Twistors, 4-symmetric spaces and integrable systems
• On surfaces in four-spaces
• Conformal and minimal immersions of compact surfaces into the 4-sphere
• Q-connections and their changes on an almost quaternion manifold
• Moduli of quaternionic superminimal immersions of 2-spheres into quaternionic projective spaces
• Harmonic sections of homogeneous fibre bundles.
• Twistor holomorphic Lagrangian surfaces in the complex projective and hyperbolic planes
• The Geometry of t-Holomorphic Surfaces in S4
• Self-duality in four-dimensional Riemannian geometry
• Compatible complex structures on almost quaternionic manifolds
• Transversally Complex Submanifolds of a Quaternion Projective Space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An inclusive immersion into a quaternionic manifold and its invariants