On sectional and Ricci curvatures of semi-Riemannian submersions
type: Item
instance of: scholarly article
title: On sectional and Ricci curvatures of semi-Riemannian submersions
zbMATH Open document ID: 0891.53016
author: Jung-Hwan Kwon
author: Young Jin Suh
published in: Kodai Mathematical Journal
publication date: 1998-07-19T00:00:00Z
review text: This paper deals with semi-Riemannian submersions between two semi-Riemannian manifolds. Sectional and Ricci curvatures are studied for the case of submersions whose fibers are totally geodesic or minimal submanifolds (so-called minimal submersions). Typical results are nonexistence theorems for minimal submersions under certain curvature assumptions. The results are purely local although a number of global examples are given.
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 1057150
zbMATH Keywords: totally geodesic submersions
zbMATH Keywords: submersions
zbMATH Keywords: semi-Riemannian manifolds
zbMATH Keywords: minimal submersions
zbMATH Keywords: curvature
Wikidata QID: Q115224552
reviewed by: Wolfgang Kühnel
MaRDI profile type: Publication
OpenAlex ID: W1970369555
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DOI: 10.2996/KMJ/1138043720
description: scientific article; zbMATH DE number 1057150