Results 21 to 30 of about 1,018 (69)

Left-invariant Riemann solitons of three-dimensional Lorentzian Lie groups [PDF]

open access: yesarXiv, 2021
In this note, we completely classify left-invariant Riemann solitons on three-dimensional Lorentzian Lie groups.
arxiv  

Generic lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection

open access: yesIssues of Analysis, 2018
In this paper, we study generic lightlike submanifolds of an indefinite Kaehler manifold M . We provide several new results on such a generic lightlike submanifold M equipped with an induced structure tensor F on M induced by the almost complex structure
D. Jin, J. Lee
semanticscholar   +1 more source

Osculating curves in 4-dimensional semi-Euclidean space with index 2

open access: yesOpen Mathematics, 2017
In this paper, we give the necessary and sufficient conditions for non-null curves with non-null normals in 4-dimensional Semi-Euclidian space with indeks 2 to be osculating curves.
İlarslan Kazim   +2 more
doaj   +1 more source

On Chen invariants and inequalities in quaternionic geometry

open access: yes, 2013
In this paper we give a survey of main results concerning Chen inequalities for submanifolds in quaternionic space forms and propose some open problems in the field for further research.AMS Subject Classification:53C15, 53C25, 53C40.
G. Vîlcu
semanticscholar   +1 more source

Inequalities on the Ricci curvature

open access: yes, 2015
We improve Chen-Ricci inequalities for a Lagrangian submanifold Mn of dimension n (n 2) in a 2n -dimensional complex space form ̃ M2n(4c) of constant holomorphic sectional curvature 4c with a semi-symmetric metric connection and a Legendrian submanifold ...
A. Mihai
semanticscholar   +1 more source

Semi-invariant warped product submanifolds of cosymplectic manifolds

open access: yes, 2012
In this article, we obtain the necessary and sufficient conditions that the semi-invariant submanifold to be a locally warped product submanifold of invariant and anti-invariant submanifolds of a cosymplectic manifold in terms of canonical structures T ...
M. Khan, S. Uddin, R. Sachdeva
semanticscholar   +1 more source

Ricci solitons on QR-hypersurfaces of a quaternionic space form ℚn

open access: yesActa Universitatis Sapientiae: Mathematica, 2016
The purpose of this paper is to study Ricci solitons on QR-hypersurfaces M of a quaternionic space form ℚn such that the shape operator A with respect to N has one eigenvalue.
Nazari Z., Abedi E.
doaj   +1 more source

Helices in the n-dimensional Minkowski spacetime

open access: yesResults in Physics, 2019
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
doaj  

An Inequality on Quaternionic CR-Submanifolds

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR-submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.
Macsim Gabriel, Mihai Adela
doaj   +1 more source

Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

open access: yesComplex Manifolds, 2019
The Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of compact minimal Lagrangian submanifolds embedded in the complex hyperquadric Qn(ℂ).
Miyaoka Reiko, Ohnita Yoshihiro
doaj   +1 more source

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