Normal connection and submanifolds with parallel normal fields in a space of constant curvature
From MaRDI portal
Publication:1172832
DOI10.1007/BF01084772zbMath0502.53041MaRDI QIDQ1172832
Yu. G. Lumiste, A. V. Chakmazyan
Publication date: 1983
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Global submanifolds (53C40) Local submanifolds (53B25) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
Related Items (3)
Artur Verdievich Chakmazyan. To the memory of a friend. ⋮ Surfaces with flat normal bundle: An explicit construction ⋮ Normal connection in the geometry of normalized submanifolds of affine space
Cites Work
- Differential geometry of submanifolds
- Symmetric submanifolds of Riemannian manifolds
- Anti-invariant submanifolds of a Sasakian space form
- Umbilical submanifolds of Sasakian space forms
- On normal connection of Kaehler submanifolds
- Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung
- Uniqueness of the normal connections and congruence of isometric immersions
- A remark on the mean curvature vector
- Extrinsic spheres in compact symmetric spaces are intrinsic spheres
- Submanifolds with parallel mean curvature vector and the curvature of minimal submanifolds of spheres
- Complex submanifolds of some Hermitian symmetric spaces
- Normal curvature and real submanifold of the complex projective space
- Submanifolds with L-flat normal connection of the complex projective space
- Immersions with parallel second fundamental form
- Produkt-Zerlegung von Immersionen mit paralleler zweiter Fundamentalform
- On principal normal vector fields of submanifolds in a Riemannian manifold of constant curvature
- Reduction of the codimension of an isometric immersion
- Submanifolds with parallel mean curvature vector
- Sur les variétés à torsion nulle
- Submanifolds with Constant Mean Curvature
- Submanifolds with Constant Mean Curvature II
- ON STABLE SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR
- Einstein-Kaehler Manifolds Immersed in a Complex Projective Space
- Immersions of codimension two with trivial normal connexion into elliptic spaces
- ON TOTALLY UMBILICAL SUBMANIFOLDS OF CARTAN-SYMMETRIC MANIFOLDS
- Complex submanifolds with certain conditions
- CR Submanifolds of a Kaehler Manifold. II
- Holonomy Groups of Normal Bundles
- Isometric Immersions of Constant Mean Curvature and Triviality of the Normal Connection
- Submanifolds umbilical with respect to a non-parallel normal subbundle
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Normal connection and submanifolds with parallel normal fields in a space of constant curvature
