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On Doubly Twisted Product of Complex Finsler Manifolds
Let (M1,F1) and (M2,F2) be two strongly pseudoconvex complex Finsler manifolds. The doubly twisted product (abbreviated as DTP) complex Finsler manifold (M1×(λ1,λ2) M2,F) is the product manifold M1×M2 endowed with the twisted product complex Finsler ...
W. Xiao+3 more
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Ruled real hypersurfaces in the complex hyperbolic quadric
In this article, we introduce a new family of real hypersurfaces in the complex hyperbolic quadric Qn∗=SO2,no∕SO2SOn{{Q}^{n}}^{\ast }=S{O}_{2,n}^{o}/S{O}_{2}S{O}_{n}, namely, the ruled real hypersurfaces foliated by complex hypersurfaces.
Lee Hyunjin, Suh Young Jin, Woo Changhwa
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Classification of f-biharmonic submanifolds in Lorentz space forms
In this paper, f-biharmonic submanifolds with parallel normalized mean curvature vector field in Lorentz space forms are discussed. When ff is a constant, we prove that such submanifolds have parallel mean curvature vector field with the minimal ...
Du Li
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Basic inequalities for statistical submanifolds in Golden-like statistical manifolds
In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem+3 more
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Estimates for eigenvalues of the Neumann and Steklov problems
We prove Li-Yau-Kröger-type bounds for Neumann-type eigenvalues of the biharmonic operator on bounded domains in a Euclidean space. We also prove sharp estimates for lower order eigenvalues of a biharmonic Steklov problem and of the Laplacian, which ...
Du Feng+4 more
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On f-rectifying curves in the Euclidean 4-space
A rectifying curve in the Euclidean 4-space 𝔼4 is defined as an arc length parametrized curve γ in 𝔼4 such that its position vector always lies in its rectifying space (i.e., the orthogonal complement Nγ ˔ of its principal normal vector field Nγ) in 𝔼4 ...
Iqbal Zafar, Sengupta Joydeep
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In this paper, we prove two optimal inequalities involving the intrinsic scalar curvature and extrinsic Casorati curvature of submanifolds of real space forms endowed with a semi-symmetric metric connection.
Chul Woo Lee, D. Yoon, Jae Won Lee
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Spacelike Bertrand curves in Minkowski 3-space revisited
In the geometry of curves in 𝔼3, if the principal normal vector field of a given space curve ϕ with non-zero curvatures is the principal normal vector field of another space curve ϕ*, then the curve ϕ is called a Bertrand curve and ϕ* is called Bertrand ...
Erdem Hatice Altın, İlarslan Kazım
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Pseudo-parallel Lagrangian submanifolds are semi-parallel [PDF]
We prove a conjecture formulated by Pablo M. Chacon and Guillermo A. Lobos in [Pseudo-parallel Lagrangian submanifolds in complex space forms, Differential Geom.
Der Veken+3 more
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On Biconservative Lorentz Hypersurface with non-diagonalizable shape operator [PDF]
In this paper, we obtain some properties of biconservative Lorentz hypersurface M 1 in E n+1 1 having shape operator with complex eigenvalues. We prove that every biconservative Lorentz hypersurface M 1 in E n+1 1 whose shape operator has complex ...
Deepika Kumari
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