Some recent developments on Hopf's holomorphic form
type: Item
instance of: scholarly article
title: Some recent developments on Hopf's holomorphic form
zbMATH Open document ID: 1256.53006
published in: Results in Mathematics
publication date: 2012-11-09T00:00:00Z
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 6104271
zbMATH Keywords: constant mean curvature
zbMATH Keywords: Hopf's quadratic form
zbMATH Keywords: Riemann surfaces
zbMATH Keywords: Hopf-type theorems
author: Manfredo P. do Carmo
MaRDI profile type: Publication
full work available at URL: s00025-011-0150-9
OpenAlex ID: W2063181246
cites work: A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
cites work: Q5472621
cites work: A theorem of Hopf and the Cauchy-Riemann inequality
cites work: A Hopf theorem for ambient spaces of dimensions higher than three
cites work: An Elementary Proof of the Existence of Isothermal Parameters on a Surface
cites work: Q3670088
cites work: Existence and uniqueness of maps into affine homogeneous spaces
cites work: Über Flächen mit einer Relation zwischen den Hauptkrümmungen. Meinem Lehrer Erhard Schmidt in Verehrung und Freundschaft zum 75. Geburtstag gewidmet.
cites work: SURFACES WITH CONSTANT MEAN CURVATURE IN RIEMANNIAN PRODUCTS
cites work: Surfaces with parallel mean curvature vector in $\mathbb{S}^{2}×\mathbb{S}^{2}$ and $\mathbb{H}^{2}×\mathbb{H}^{2}$
cites work: Q4064107
cites work: Counterexample to a conjecture of H. Hopf
cites work: Submanifolds with Constant Mean Curvature
DOI: 10.1007/S00025-011-0150-9
description: scientific article; zbMATH DE number 6104271