Morse index and Gauss maps of complete minimal surfaces in Euclidean 3- space
type: Item
instance of: scholarly article
title: Morse index and Gauss maps of complete minimal surfaces in Euclidean 3- space
zbMATH Open document ID: 0797.58018
DOI: 10.1007/BF02565834
author: Shin Nayatani
published in: Commentarii Mathematici Helvetici
publication date: 1994-10-11T00:00:00Z
full work available at URL: https://eudml.org/doc/140315
review text: The author studies the index and the nullity of an operator \(L_ G\) associated to an arbitrary holomorphic map \(G: \Sigma \to S^ 2\), where \(\Sigma\) is a compact Riemann surface.
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 495452
zbMATH Keywords: Morse index
zbMATH Keywords: Gauss map
zbMATH Keywords: complete minimal surfaces
zbMATH Keywords: deformation
zbMATH Keywords: eigenvalues
reviewed by: Themistocles M. Rassias
MaRDI profile type: Publication
OpenAlex ID: W2062981161
Recommended article: On the Morse index of complete minimal surfaces in Euclidean space
Recommended article: Lower bounds for the Morse index of complete minimal surfaces in Euclidean 3-space
Recommended article: Q4280919
Recommended article: On complete minimal surfaces with finite Morse index in three manifolds
Recommended article: MORSE-TYPE INDICES OF TWO-DIMENSIONAL MINIMAL SURFACES INR3ANDH3
Recommended article: The Morse Index of a Minimal Surface
Recommended article: Q3363785
Recommended article: Q4281128
Recommended article: The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
Recommended article: Q3697931
description: scientific article; zbMATH DE number 495452