On submanifolds with nonpositive extrinsic curvature

DOI10.1007/BF01459733zbMath0810.53011WikidataQ125910875 ScholiaQ125910875MaRDI QIDQ1318129

Luis A. Florit

Publication date: 9 April 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165169

zbMATH Keywords

Kähler manifoldsextrinsic curvatureisometric immersionindex of relative nullityRiemannian productslemma of Otsuki

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items (14)

On isometric immersions into complex space forms ⋮ ON RICCI RANK OF CARTAN–HADAMARD MANIFOLDS ⋮ Isometric embedding of Kähler manifolds with nonpositive sectional curvature ⋮ Warped product structure of submanifolds with nonpositive extrinsic curvature in space forms ⋮ Knots in Riemannian manifolds ⋮ Complete submanifolds with relative nullity in space forms ⋮ On real Kähler Euclidean submanifolds with non-negative Ricci curvature ⋮ Submanifolds with restrictions on extrinsic \(q\)-th scalar curvature ⋮ Some connectedness problems in positively curved Finsler manifolds ⋮ On nonpositively curved compact Riemannian manifolds with degenerate Ricci tensor ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ On the mean curvature of submanifolds with nullity ⋮ Applied geodesic foliations

Cites Work

• Unnamed Item
• Submanifolds of constant positive curvature. I
• Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions
• On the completeness of nullity foliations
• Isometric imbedding of Riemann manifolds in a Riemann manifold
• COMPLETE $ l$-DIMENSIONAL SURFACES OF NONPOSITIVE EXTRINSIC CURVATURE IN A RIEMANNIAN SPACE
• Totally geodesic foliations
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space

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