A further method in global differential geometry

DOI10.1007/BF02992946zbMath0328.53040WikidataQ115391021 ScholiaQ115391021MaRDI QIDQ1226768

Udo Simon

Publication date: 1976

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40)

Related Items (17)

Low-type submanifolds of real space forms via the immersions by projectors ⋮ Unnamed Item ⋮ On the existence of parallel normal vector fields of surfaces in $E^4$ ⋮ Unnamed Item ⋮ Rigidity theorem for compact Bach-flat manifolds with positive constant \(\sigma_2\) ⋮ On compact Riemannian manifolds with harmonic Weyl curvature ⋮ On ovaloids in E5 ⋮ Some characterizations of the euclidean sphere ⋮ Submanifolds with commuting normal vector field ⋮ Isometries with spheres ⋮ On ovaloids in E5 ⋮ Einstein spaces isometrically diffeomorphic to a sphere ⋮ Submanifolds with parallel mean curvature vector and the curvature of minimal submanifolds of spheres ⋮ Rigidity of surfaces with constant extrinsic curvature in Riemannian product spaces ⋮ A classification of Kaehlerian manifolds satisfying some special conditions ⋮ Some rigidity properties for manifolds with constant \(k\)-curvature of modified Schouten tensor ⋮ Compact hypersurfaces with a constant higher mean curvature function

Cites Work

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• Submanifolds of constant mean curvature
• Ein Satz aus der Differentialgeometrie der Eiflächen
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Surfaces in constant curvature manifolds with parallel mean curvature vector field
• Eine Charakterisierung von Produkten geschlossener sphärischer Kurven
• On Riemannian conformally symmetric spaces admitting projective collineations
• On a certain class of Riemannian homogeneous spaces
• On hypersurfaces with constant scalar curvature in a Riemannian manifold of constant curvature
• Minimale Untermannigfaltigkeiten von Sphären
• On differential operators of second order on Riemannian manifolds with nonpositive curvature

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