Results 1 to 10 of about 82,161 (203)

Continuous families of isospectral metrics on simply connected manifolds

, 1998
We construct continuous families of Riemannian metrics on certain simply connected manifolds with the property that the resulting Riemannian manifolds are pairwise isospectral for the Laplace operator acting on functions.
Schueth, Dorothee
core   +4 more sources

The Proximal Gradient Method for Composite Optimization Problems on Riemannian Manifolds

Mathematics
In this paper, the composite optimization problem is studied on Riemannian manifolds. To tackle this problem, the proximal gradient method to solve composite optimization problems is proposed on Riemannian manifolds. Under some reasonable conditions, the
Xiaobo Li
doaj   +1 more source

Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds

Journal of Function Spaces and Applications, 2013
We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion ...
Yılmaz Gündüzalp
doaj   +1 more source

Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds

Mathematics, 2023
Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures.
Vladimir Rovenski
doaj   +1 more source

On Ricci Riemannian Manifolds

Annals of the Alexandru Ioan Cuza University - Mathematics, 2010
Summary: The object of this paper is to study some properties of a type of Riemannian manifold called Ricci Riemannian manifold \((M^n,g),n>2\). The perfect fluid space time \((M^4,g)\) of general relativity is also studied.
openaire   +2 more sources

The global geometry of Riemannian manifolds with commuting curvature operators

, 2006
We give manifolds in both the Riemannian and in the higher signature settings whose Riemann curvature operators commute, i.e. which satisfy R(a,b)R(c,d)=R(c,d)R(a,b) for all tangent vectors. These manifolds have global geometric phenomena which are quite
Brozos-Vazquez, M., Gilkey, P.
core   +2 more sources

A Comprehensive Review of Golden Riemannian Manifolds

Axioms
In differential geometry, the concept of golden structure represents a compelling area with wide-ranging applications. The exploration of golden Riemannian manifolds was initiated by C. E. Hretcanu and M.
Bang-Yen Chen, Majid Ali Choudhary, Afshan Perween   +2 more
doaj   +1 more source

Conformally Einstein Products and Nearly K\"ahler Manifolds

, 2008
In the first part of this note we study compact Riemannian manifolds (M,g) whose Riemannian product with R is conformally Einstein. We then consider compact 6--dimensional almost Hermitian manifolds of type W_1+W_4 in the Gray--Hervella classification ...
A. Besse, A. Gray, A. Gray, A. Gray, Andrei Moroianu, C. Bär, H.W. Brinkmann, H.W. Brinkmann, J.-B. Butruille, L. Ornea, Liviu Ornea, M. Listing, M. Listing, M. Matsumoto, M. Obata, Nagy, R. Gover, R. Grünewald, T. Friedrich   +18 more
core   +5 more sources

Pseudo-Riemannian manifolds with recurrent spinor fields

, 2013
The existence of a recurrent spinor field on a pseudo-Riemannian spin manifold $(M,g)$ is closely related to the existence of a parallel 1-dimensional complex subbundle of the spinor bundle of $(M,g)$.
A Ikemakhen, A Ikemakhen, A Ikemakhen, A Moroianu, A S Galaev, A S Galaev, A. S. Galaev, H Baum, L Berard Bergery, M Wang, N Hitchin, S Armstrong, T Leistner, Th Friedrich, Th Leistner, Th Leistner   +15 more
core   +1 more source

An Accelerated Riemannian Conjugate Gradient Method Based on the Barzilai–Borwein Technique

Mathematics
This paper proposes an accelerated Riemannian conjugate gradient method based on the Barzilai-Borwein (BB) technique, termed ABBSRCG, for unconstrained optimization on Riemannian manifolds. Building upon classical Riemannian conjugate gradient frameworks,
Ziyin Ma, Tao Yan, Shimin Zhao
doaj   +1 more source