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THE FUNDAMENTAL GROUP OF A COMPACT FLAT LORENTZ SPACE FORM IS VIRTUALLY POLYCYCLIC
lorentz Multi-loop spatial form
2015/9/29
A flat Lorentz space form is a geodesically complete Lorentzian manifold of
zero curvature. It is well known (see Auslander & Markus [3]) that such a space
M may be represented as a quotient Rw
/Γ,...
CR submanifolds of maximal CR dimension of a complex space form with recurrent shape operator
Complex space form CR submanifold of maximal CR dimension
2011/2/28
Let M be a CR submanifold of maximal CR dimension of a complex space form M. The shape operator A of the distinguished vector field is recurrent if there exists a 1-form v such that ∇A = A X...
A New Obstruction to Minimal Isometric Immersions into a Real Space Form
Constrained maximum Chen's inequality Minimal submanifolds
2008/7/3
A New Obstruction to Minimal Isometric Immersions into a Real Space Form.
On Non-Existence of Lightlike Hypersurfaces of Indefinite Kenmotsu Space Form
Lightlike hypersurface Kenmotsu space form
2010/2/25
In this paper, lightlike hypersurfaces of indefinite Kenmotsu space form are studied. Some characterizations of non-existence of lightlike hypersurfaces of indefinite Kenmotsu space form are given.
On Lightlike Hypersurfaces of a Semi-Riemannian Space form
Lightlike Hypersurfaces Semi-Riemannian Space form
2010/3/1
In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold. We show that a lightlike hypersurface is totally geodesic if and only if it is locally symmetric. Also, we show that a ligh...
On QR-Submanifolds of a Quaternionic Space form
Quaternion Kaehler Manifold QR-Submanifold Pseudo-Umbilical Submanifold Mixed Geodesic QR-Submanifold Almost Contact 3-Structure
2010/3/1
In this paper, we investigate mixed QR-submanifolds in a quaternionic space form and pseudo umbilical QR-submanifold of a quaternionic space form under some additional condition. Finally we give a nec...