Results 41 to 50 of about 29,700 (193)

On geometry of Kenmotsu manifolds with N-connection

open access: yesДифференциальная геометрия многообразий фигур, 2019
A Kenmotsu manifold with a given N-connection is considered. From the integrability of the distribution of a Kenmotsu manifold it follows that the N-connection belongs to the class of the quarter-symmetric connec­tions. Among the N-connections, the class
A. Bukusheva
doaj   +1 more source

Lightlike Hypersurfaces of a Semi-Riemannian Product Manifold and Quarter-Symmetric Nonmetric Connections

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We study lightlike hypersurfaces of a semi-Riemannian product manifold. We introduce a class of lightlike hypersurfaces called screen semi-invariant lightlike hypersurfaces and radical anti-invariant lightlike hypersurfaces.
Erol Kılıç, Oğuzhan Bahadır
doaj   +1 more source

On a Metric Affine Manifold with Several Orthogonal Complementary Distributions

open access: yesMathematics, 2021
A Riemannian manifold endowed with k>2 orthogonal complementary distributions (called here an almost multi-product structure) appears in such topics as multiply twisted or warped products and the webs or nets composed of orthogonal foliations.
Vladimir Rovenski, Sergey E. Stepanov
doaj   +1 more source

Projective vs metric structures

open access: yes, 2010
We present a number of conditions which are necessary for an n-dimensional projective structure (M,[nabla]) to include the Levi-Civita connection nabla of some metric on M.
Cartan   +16 more
core   +1 more source

Natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric

open access: yes, 2011
A natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric is constructed. The class of these manifolds, where the considered connection exists, is determined.
Friedrich T.   +7 more
core   +1 more source

The well adapted connection of a $(J^{2}=\pm 1)$-metric manifold

open access: yes, 2015
In this paper, we study the well adapted connection attached to a $(J^{2}=\pm 1)$-metric manifold, proving it exists for any of the four geometries and obtaining a explicit formula as a derivation law.
Etayo, Fernando, Santamaría, Rafael
core   +1 more source

On Geometric Phase Model in the Theory of Curves With Myller Configuration

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir   +2 more
wiley   +1 more source

Generalized Sasakian-Space-Forms with Projective Curvature Tensor

open access: yesDemonstratio Mathematica, 2014
The object of the present paper is to study Ф-projectively flat generalized Sasakian-space-forms, projectively locally symmetric generalized Sasakian-space-forms and projectively locally Ф-symmetric generalized Sasakian-space-forms.
Sarkar A., Akbar Ali
doaj   +1 more source

The order of curvature operators on loop groups

open access: yes, 2009
For loop groups (free and based), we compute the exact order of the curvature operator of the Levi-Civita connection depending on a Sobolev space parameter.
A. Pressley   +3 more
core   +1 more source

Embedding Optimization of Layouts via Distortion Minimization

open access: yesComputer Graphics Forum, EarlyView.
Abstract Given an embedding of a layout in the surface of a target mesh, we consider the problem of optimizing the embedding geometrically. Layout embeddings partition the surface into multiple disk‐like patches, making them particularly useful for parametrization and remeshing tasks, such as quad‐remeshing, since these problems can then be solved on ...
A. Heuschling, I. Lim, L. Kobbelt
wiley   +1 more source

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