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

作者：Erkekoglu Fazilet^*

来源：International Journal of Geometric Methods in Modern Physics, 2011, 8(5): 985-1005.

DOI：10.1142/S0219887811005488

• Nondegenerate submanifold
• semi-Euclidean spaces
• geodesic completeness
• affine growth condition
• second fundamental form tensor
• nonacute geodesic
• nonobtuse geodesic
• totally umbilic

In this survey, we study the geodesic completeness of nondegenerate submanifolds in semi-Riemannian geometry. We also include the study of the geodesic completeness of nondegenerate submanifolds in semi-Euclidean spaces by extending the study of Beem and Ehrlich [4] to semi-Euclidean spaces.

• 出版日期2011-8