Results 31 to 40 of about 1,280 (66)

Helices in the n-dimensional Minkowski spacetime

Results 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
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An Inequality on Quaternionic CR-Submanifolds

Analele 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
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Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

Complex 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
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A Note on Doubly Warped Product Contact CR-Submanifolds in trans-Sasakian Manifolds

, 2007
Warped product CR-submanifolds in Kaehlerian manifolds were intensively studied only since 2001 after the impulse given by B.Y. Chen. Immediately after, another line of research, similar to that concerning Sasakian geometry as the odd dimensional version
A. Gray, B. Y. Chen, B. Y. Chen, B. Ünal, D. E. Blair, I. Mihai, J. C. Marero, K. Arslan, K. Yano, M. -I. Munteanu, M. I. Munteanu   +10 more
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A geometric proof of the Karpelevich-Mostow's theorem

, 2007
In this paper we give a geometric proof of the Karpelevich's theorem that asserts that a semisimple Lie subgroup of isometries, of a symmetric space of non compact type, has a totally geodesic orbit.
Di Scala, Antonio J., Olmos, Carlos
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Spinorial Characterizations of Surfaces into 3-dimensional pseudo-Riemannian Space Forms

, 2010
We give a spinorial characterization of isometrically immersed surfaces of arbitrary signature into 3-dimensional pseudo-Riemannian space forms. For Lorentzian surfaces, this generalizes a recent work of the first author in $\mathbb{R}^{2,1}$ to other ...
B O’Neill, C Bär, H Baum, J Roth, Julien Roth, MA Lawn, MA Lawn, Marie-Amélie Lawn, T Friedrich   +8 more
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Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms

Open Mathematics, 2015
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina, Pérez Juan de Dios   +1 more
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The mean curvature of cylindrically bounded submanifolds

, 2009
We give an estimate of the mean curvature of a complete submanifold lying inside a closed cylinder $B(r)\times\R^{\ell}$ in a product Riemannian manifold $N^{n-\ell}\times\R^{\ell}$.
A. Grigor’yan, D. Hoffman, F. Martín, G. Pacelli Bessa, G.P. Bessa, L. Jorge, L. Jorge, Luis J. Alías, Marcos Dajczer, N. Nadirashvili, S. Markvorsen, S. Pigola, S.S. Chern, T. Colding   +13 more
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Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces

Complex Manifolds, 2019
An R-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each R-space has the canonical embedding into a Kähler C-space as a real form, and thus a compact embedded ...
Ohnita Yoshihiro
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Warped Product CR-Submanifolds in Lorentzian para Sasakian Manifolds [PDF]

, 2010
2000 Mathematics Subject Classification: 53C15, 53C40, 53C42.Many research articles have recently appeared exploring existence or non existence of warped product submanifolds in known spaces (cf. [2, 5, 8]). The objective of the present paper is to study
Uddin, Siraj
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