An application of second variation to submanifold theory
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Publication:1230431
DOI10.1215/S0012-7094-75-04217-9zbMath0337.53045MaRDI QIDQ1230431
Publication date: 1975
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Embeddings and immersions in topological manifolds (57N35) Index theory and related fixed-point theorems on manifolds (58J20) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)
Related Items (12)
Radii of Immersed Manifolds and Nonexistence of Immersions ⋮ Isometric embedding of Kähler manifolds with nonpositive sectional curvature ⋮ Nonnegativity of the curvature operator and isotropy for isometric immersions ⋮ Estimates for the curvature of a submanifold which lies inside a tube ⋮ Submanifolds with nonpositive extrinsic curvature ⋮ Curvature estimates for submanifolds in warped products ⋮ Rigidity of spheres in Riemannian manifolds and a non-embedding theorem ⋮ Curvature estimates for properly immersed \(\phi_h\)-bounded submanifolds ⋮ An estimate for the sectional curvature of cylindrically bounded submanifolds ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ An extension of a theorem of Serrin to graphs in warped products
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