On pinching theorems for compact pseudo-umbilical submanifold
Abstract: Consider submanifolds in the nested space. For a compact pseudoumbilical submanifold with parallel mean curvature vector of a Riemannian submanifold with constant curvature immersed in a quasi-constant curvature Riemannian manifold, two sufficient conditions are given to let the pseudo-umbilical submanifold become a totally umbilical submanifold.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On pinching theorems for compact pseudo-umbilical submanifold ; volume:45 ; number:3 ; year:2012 ; pages:645-654 ; extent:10
Demonstratio mathematica ; 45, Heft 3 (2012), 645-654 (gesamt 10)
- Creator
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Mao, Jing
Qin, Shaodong
- DOI
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10.1515/dema-2013-0390
- URN
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urn:nbn:de:101:1-2411171654537.956347818046
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:27 AM CEST
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Associated
- Mao, Jing
- Qin, Shaodong
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Gromov's compactness theorem for pseudo-holomorphic curves
A weighted Minkowski theorem for pseudo-cones
Pseudo-metric space and fixed point theorem
Traces of pseudo-differential operators on compact and Hausdorff groups
An Obata-type theorem on compact Einstein manifolds with boundary
Pseudo-differential operators with operator valued symbols on non-compact manifolds
Exotic compact quotients of pseudo-Riemannian symmetric spaces
Factorization theorems for compact operators and semigroup differences
ON THREE DIMENSIONAL PSEUDO-UMBILICAL ISOTROPIC SUBMANIFOLDS
Killing Fields on Compact Pseudo-Kähler Manifolds
Simulation Theorems via Pseudo-random Properties
FIXED POINT THEOREMS ON PRODUCT OF COMPACT METRIC SPACES
Gromov's compactness theorem for pseudo-holomorphic curves
A weighted Minkowski theorem for pseudo-cones
Pseudo-metric space and fixed point theorem
Traces of pseudo-differential operators on compact and Hausdorff groups
An Obata-type theorem on compact Einstein manifolds with boundary
Pseudo-differential operators with operator valued symbols on non-compact manifolds
Exotic compact quotients of pseudo-Riemannian symmetric spaces
Factorization theorems for compact operators and semigroup differences
ON THREE DIMENSIONAL PSEUDO-UMBILICAL ISOTROPIC SUBMANIFOLDS
Killing Fields on Compact Pseudo-Kähler Manifolds
Simulation Theorems via Pseudo-random Properties
FIXED POINT THEOREMS ON PRODUCT OF COMPACT METRIC SPACES
Gromov's compactness theorem for pseudo-holomorphic curves
A weighted Minkowski theorem for pseudo-cones
Pseudo-metric space and fixed point theorem
Traces of pseudo-differential operators on compact and Hausdorff groups
An Obata-type theorem on compact Einstein manifolds with boundary
Pseudo-differential operators with operator valued symbols on non-compact manifolds
Exotic compact quotients of pseudo-Riemannian symmetric spaces