Results 1 to 10 of about 155,156 (269)

On concurrent vector fields on Riemannian manifolds

open access: yesAIMS Mathematics, 2023
It is shown that the presence of a non-zero concurrent vector field on a Riemannian manifold poses an obstruction to its topology as well as certain aspects of its geometry.
Amira Ishan
doaj   +1 more source

Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection

open access: yesJournal of New Theory, 2021
In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection.
Ramazan Sarı
doaj   +1 more source

Reconstructing volatility: Pricing of index options under rough volatility

open access: yesMathematical Finance, Volume 33, Issue 1, Page 19-40, January 2023., 2023
Abstract Avellaneda et al. (2002, 2003) pioneered the pricing and hedging of index options – products highly sensitive to implied volatility and correlation assumptions – with large deviations methods, assuming local volatility dynamics for all components of the index.
Peter K. Friz, Thomas Wagenhofer
wiley   +1 more source

Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds

open access: yesAIMS Mathematics, 2021
Some relations involving the qualar and null sectional curvatures for a pseudo Riemannian manifold are obtained. These curvatures are also investigated for pseudo-Riemannian submanifolds.
Mehmet Gülbahar
doaj   +1 more source

Generic Riemannian Maps from Nearly Kaehler Manifolds

open access: yesComputer Sciences & Mathematics Forum, 2023
In order to generalise semi-invariant Riemannian maps, Sahin first introduced the idea of “Generic Riemannian maps”. We extend the idea of generic Riemannian maps to the case in which the total manifold is a nearly Kaehler manifold.
Richa Agarwal, Shahid Ali
doaj   +1 more source

On geometry of sub-Riemannian η-Einstein manifolds

open access: yesДифференциальная геометрия многообразий фигур, 2019
On a sub-Riemannian manifold of contact type a connection with torsion is considered, called in the work a Ψ-connection. A Ψ-connection is a particular case of an N-connection.
S. Galaev
doaj   +1 more source

Reducing the Dimensionality of SPD Matrices with Neural Networks in BCI

open access: yesMathematics, 2023
In brain–computer interface (BCI)-based motor imagery, the symmetric positive definite (SPD) covariance matrices of electroencephalogram (EEG) signals with discriminative information features lie on a Riemannian manifold, which is currently attracting ...
Zhen Peng   +3 more
doaj   +1 more source

On conformal transformations of metrics of Riemannian paracomplex manifolds

open access: yesДифференциальная геометрия многообразий фигур, 2021
A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost para­complex manifold. In the present paper, we consider con­formal transformations of metrics of Riemannian para­complex manifolds.
S.E. Stepanov   +2 more
doaj   +1 more source

Geodesic Vector Fields on a Riemannian Manifold

open access: yesMathematics, 2020
A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of
Sharief Deshmukh   +2 more
doaj   +1 more source

On the projections of Laplacians under Riemannian submersions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M.
Huiling Le
doaj   +1 more source

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