Einstein parallel Kaehler submanifolds in a complex projective space
type: Item
instance of: scholarly article
title: Einstein parallel Kaehler submanifolds in a complex projective space
zbMATH Open document ID: 0613.53022
author: Seiichi Udagawa
published in: Tokyo Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: A submanifold is said to be bi-order if the immersion is given by eigenfunctions of the Laplacian corresponding to two distinct eigenvalues. More precisely, a submanifold is said to be of order \(\{\) p,q\(\}\) if the immersion is given by the p-th and the q-th eigenfunctions. The author proves among others that the following conditions are mutually equivalent for a compact Kähler submanifold of a complex projective space: (1) Einstein parallel submanifold which is not totally geodesic, (2) bi-order, (3) of order \(\{\) 1,2\(\}\).
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 3992358
zbMATH Keywords: submanifolds of finite order
zbMATH Keywords: Kähler submanifold
zbMATH Keywords: complex projective space
zbMATH Keywords: Einstein parallel submanifold
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270150722
OpenAlex ID: W2011527544
DOI: 10.3836/TJM/1270150722
description: scientific article; zbMATH DE number 3992358