The Schwarz Lemma for Super-Conformal Maps

DOI10.1007/978-981-10-5556-0_6zbMath1386.53009OpenAlexW2754103726MaRDI QIDQ4609931

Katsuhiro Moriya

Publication date: 27 March 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-5556-0_6

zbMATH Keywords

holomorphic mapsellipse of curvaturequaternionic holomorphic geometry

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Cites Work

• Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic \(2\)-tori.
• A factorization of a super-conformal map
• A new curvature theory for surfaces in a Euclidean \(4\)-space
• Super-conformal surfaces associated with null complex holomorphic curves
• Conformal geometry of surfaces in \(S^4\) and quaternions
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