CLASSIFICATION OF PSEUDO-UMBILICAL SLANT SURFACES IN LORENTZIAN COMPLEX SPACE FORMS

Biharmonic and Quasi-Biharmonic Slant Surfaces in Lorentzian Complex Space Forms

and Applied Analysis 3 2.2. Bitension Field. For smooth maps φ : (Mn, g) → (̃ Mm, ⟨, ⟩), the tension field τ(φ) is a section of the vector bundle φ∗T̃ M defined by τ (φ) = trace∇dφ = n

Ideal Slant Submanifolds in Complex Space Forms

Roughly speaking, an ideal immersion of a Riemannian manifold into a space form is an isometric immersion which produces the least possible amount of tension from the ambient space at each point of the submanifold. Recently, B.-Y. Chen studied Lagrangian submanifolds in complex space forms which are ideal. He proved that such submanifolds are minimal. He also classified ideal Lagrangian submani...

Characterizations of Slant Ruled Surfaces in the Euclidean 3-space

In this study, we give the relationships between the conical curvatures of ruled surfaces generated by the unit vectors of the ruling, central normal and central tangent of a ruled surface in the Euclidean 3-space E^3. We obtain differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give the conditions for the surfaces generate...

Lagrangian H-Umbilical Surfaces in Complex Lorentzian Plane

We completely classify Lagrangian H-umbilical Surfaces with λ = 2μ in Complex Lorentzian Plane C1.

Shape Operator of Slant Submanifolds in Kenmotsu Space Forms