Minimal ruled submanifolds associated with Gauss map

DOI10.11650/tjm/170908zbMath1400.53015OpenAlexW2765263140MaRDI QIDQ1990397

Sun Mi Jung, Young Ho Kim, Dongsoo S. Kim

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1508983231

zbMATH Keywords

generalized circular cylinderminimal ruled submanifoldgeneralized hyperbolic cylindermarginally trapped ruled submanifold

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (1)

Gauss map and its applications on ruled submanifolds in Minkowski space

Cites Work

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• Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space
• Minimal ruled submanifolds in Minkowski space \(\mathbb L^{m}\)
• Spacelike rotational surfaces of elliptic, hyperbolic and parabolic types in Minkowski space \(\mathbb E^4_1\) with pointwise 1-type Gauss map
• Ruled submanifolds with harmonic Gauss map
• Some classifications of ruled submanifolds in Minkowski space and their Gauss map
• Classification of ruled surfaces with pointwise 1-type Gauss map
• Classification of ruled surfaces in Minkowski 3-spaces
• Classification of ruled surfaces with pointwise 1-type Gauss map in Minkowski 3-space
• Extended \(B\)-scrolls and their Gauss maps
• Ruled submanifolds with finite type Gauss map
• Ruled surfaces and tubes with finite type Gauss map
• Characterization of generalized \(B\)-scrolls and cylinders over finite type curves
• Ruled surfaces with pointwise 1-type Gauss map
• Some classification results on finite-type ruled submanifolds in a Lorentz-Minkowski space
• Finite type ruled surfaces in Lorentz-Minkowski space
• On the Gauss map of ruled surfaces in Minkowsi space
• GAUSS MAPS OF RULED SUBMANIFOLDS AND APPLICATIONS I
• Total Mean Curvature and Submanifolds of Finite Type
• Hypersurfaces with pointwise 1-type Gauss map in Lorentz–Minkowski space
• SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP
• Mathematical general relativity: A sampler
• Marginally trapped surfaces in Lorentzian space forms with positive relative nullity
• Ruled surfaces of finite type
• Ruled Submanifolds of Finite Type
• Circular cone and its Gauss map
• Gravitational Collapse and Space-Time Singularities
• Boost invariant marginally trapped surfaces in Minkowski 4-space
• ANALYSIS AND COMPUTATIONS OF LEAST-SQUARES METHOD FOR OPTIMAL CONTROL PROBLEMS FOR THE STOKES EQUATIONS

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