On real hypersurfaces of finite type of \(CP^ m\)
type: Item
instance of: scholarly article
title: On real hypersurfaces of finite type of \(CP^ m\)
zbMATH Open document ID: 0565.53015
author: J. Blot
published in: Kodai Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: Let \(\psi\) : \({\mathbb{C}}P^ m\to H(m+1)\) be the standard embedding of \({\mathbb{C}}P^ m\) as the set of primitive idempotents. An isometric immersion \(i: M\to {\mathbb{C}}P^ m\) of a real Riemannian manifold is called k-order, if in the spectral decomposition of \(\psi\) \(\circ i\) with respect to the Laplacian only k eigenspaces belonging to positive eigenvalues are involved. The authors study such immersions of real codimension 1 and low k. They classify (closed) Mono-order \((k=1)\) and minimal Bi-order \((k=2)\) real hypersurfaces.
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 53B35
zbMATH DE Number: 3901566
zbMATH Keywords: finite type
zbMATH Keywords: spectral decomposition
zbMATH Keywords: Laplacian
reviewed by: Dirk Ferus
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138036953
OpenAlex ID: W1980829545
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DOI: 10.2996/KMJ/1138036953
description: scientific article; zbMATH DE number 3901566