Results 1 to 10 of about 1,279 (78)
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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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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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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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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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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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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Helices in the n-dimensional Minkowski spacetime
In this work, we find position vectors of non-null helices in the n-dimensional Minkowski spacetime. We present methods to generate helices from polynomial curves.
Bulent Altunkaya
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A geometric flow on null hypersurfaces of Lorentzian manifolds
We introduce a geometric flow on a screen integrable null hypersurface in terms of its local second fundamental form. We use it to give an alternative proof to the vorticity free Raychaudhuri’s equation for null hypersurface, as well as establishing ...
Massamba Fortuné, Ssekajja Samuel
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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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