Results 11 to 20 of about 1,018 (69)

A survey on Inverse mean curvature flow in ROSSes

open access: yesComplex Manifolds, 2017
In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces.
Pipoli Giuseppe
doaj   +1 more source

SLANT SUBMANIFOLDS IN SASAKIAN MANIFOLDS

open access: yesGlasgow Mathematical Journal, 2000
In this paper, we show new results on slant submanifolds of an almost contact metric manifold. We study and characterize slant submanifolds of K-contact and Sasakian manifolds. We also study the special class of three-dimensional slant submanifolds.
J. Cabrerizo   +3 more
semanticscholar   +1 more source

A geometric flow on null hypersurfaces of Lorentzian manifolds

open access: yesTopological Algebra and its Applications, 2022
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
doaj   +1 more source

ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS

open access: yesProceedings of the Edinburgh Mathematical Society, 2002
We establish a general sharp inequality for warped products in real space form. As applications, we show that if the warping function $f$ of a warped product $N_1\times_fN_2$ is a harmonic function, then (1) every isometric minimal immersion of $N_1 ...
Bang‐Yen Chen
semanticscholar   +1 more source

On submersion and immersion submanifolds of a quaternionic projective space

open access: yesActa Universitatis Sapientiae: Mathematica, 2016
We study submanifolds of a quaternionic projective space, it is of great interest how to pull down some formulae deduced for submanifolds of a sphere to those for submanifolds of a quaternionic projective space.
Abedi Esmail, Nazari Zahra
doaj   +1 more source

Totally geodesic property of the unit tangent sphere bundle with g-natural metrics

open access: yesActa Universitatis Sapientiae: Mathematica, 2018
In this paper, we consider the tangent bundle of a Riemannian manifold (M, g) with g-natural metrics and among all of these metrics, we specify those with respect to which the unit tangent sphere bundle with induced g-natural metric is totally geodesic ...
Peyghan Esmaeil, Firuzi Farshad
doaj   +1 more source

Chen’s inequalities for submanifolds in (κ, μ)-contact space form with a semi-symmetric metric connection

open access: yesOpen Mathematics, 2018
In this paper, we obtain Chen’s inequalities for submanifolds in (κ, μ)-contact space form endowed with a semi-symmetric metric connection.
Ahmad Asif   +3 more
doaj   +1 more source

On the structure vector field of a real hypersurface in complex quadric

open access: yesOpen Mathematics, 2018
From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
doaj   +1 more source

On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics

open access: yes, 2016
In this paper, we prove that a unitary invariant strongly pseudoconvex complex Finsler metric is a complex Landsberg metric if and if only if it comes from a unitary invariant Hermitian metric.
Yong He, Chunping Zhong
semanticscholar   +1 more source

Bernstein Theorems for Space-like Graphs with Parallel Mean Curvature and Controlled Growth [PDF]

open access: yes, 2007
In this paper, we obtain an Ecker-Huisken type result for entire graphs with parallel mean curvature.
arxiv   +1 more source

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