On Geodesic Completeness of Nondegenerate Submanifolds in Semi-Euclidean Spaces

DOI10.1142/S1402925109000200zbMath1170.53033WikidataQ114072114 ScholiaQ114072114MaRDI QIDQ3395357

Fazilet Erkekoğlu

Publication date: 26 August 2009

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

geodesic completenesstotally umbilicsemi-Euclidean spacesnondegenerate submanifoldnonacute geodesicnonobtuse geodesicsecond fundamental form tensoraffine growth condition

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

A SURVEY ON GEODESIC COMPLETENESS OF NONDEGENERATE SUBMANIFOLDS IN SEMI-RIEMANNIAN GEOMETRY

Cites Work

• Incompleteness of timelike submanifolds with nonvanishing second fundamental form
• Zur affinen Differentialgeometrie im Großen. I
• Closed and complete spacelike hypersurfaces in Minkowski space
• A Holomorphic Point of View about Geodesic Completeness
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