Results 61 to 70 of about 427,064 (305)

A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]

Opuscula Mathematica, 2005
Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
doaj  

Cohomological tautness for Riemannian foliations

, 2008
In this paper we present some new results on the tautness of Riemannian foliations in their historical context. The first part of the paper gives a short history of the problem.
A. Haefliger, A. Haefliger, A. Haefliger, A. Kacimi El, A. Kacimi et El, B. Reinhart, B. Reinhart, D. Domínguez, D. Dom’inguez, D. Sullivan, F. W. Kamber, F. W. Kamber, G. Cairns, G. E. Bredon, H. Boualem, H. Gluck, H. J. Sussmann, H. Rummler, J. A. Álvarez López, J. I. Royo Prieto, J. I. Royo Prieto, J. I. Royo Prieto, J. McCleary, M. Saralegi-Aranguren, M. Saralegi-Aranguren, M. Saralegi-Aranguren, P. Molino, P. Molino, P. Molino, P. Molino, P. Stefan, Ph. Tondeur, R. Wolak, R. Wolak, V. Miquel, V. Sergiescu, V. Sergiescu, W. Greub, X. Masa, Y. Carrière   +39 more
core   +3 more sources

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source

Fiber-Preserving Conformal Vector Field of Frame Bundles with Natural Riemannian Metric [PDF]

Memoirs of the Scientific Sections of the Romanian Academy, 2019
We consider the bundle of all oriented orthonormal frames over an orientable Remannian manifold. This bundle has a natural Riemannian metric which is defined by the Riemannian connection of the base manifold.
M.T.K. Abbassi , N. Amri
doaj  

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

Pseudo-Riemannian manifolds with recurrent spinor fields [PDF]

Siberian Mathematical Journal 54 (2013), no. 4, pp. 604--613, 2010
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 $(M,g)$. We characterize the following simply connected pseudo-Riemannian manifolds admitting such subbundles in terms of their holonomy algebras: Riemannian ...
arxiv   +1 more source

An Information-geometric Approach to Sensor Management

, 2012
An information-geometric approach to sensor management is introduced that is based on following geodesic curves in a manifold of possible sensor configurations.
Cochran, Douglas, Howard, Stephen D., Moran, Bill   +2 more
core   +1 more source

Regularity and separation for Grušin‐type p‐Laplace operators

Mathematische Nachrichten, EarlyView.
Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley   +1 more source

Applications of Disaffinity Vectors to Certain Riemannian Manifolds

Mathematics
A disaffinity vector on a Riemannian manifold is a vector field whose affinity tensor vanishes. In this paper, we prove that every disaffinity vector on a compact Riemannian manifold is an incompressible vector field.
Hanan Alohali, Sharief Deshmukh, Bang-Yen Chen   +2 more
doaj   +1 more source

Cosmological Dynamics of Interacting Dark Energy and Dark Matter in f(Q)$f(Q)$ Gravity

Fortschritte der Physik, EarlyView.
Abstract In this work, the behavior of interacting dark energy (DE) and dark matter (DM) within a model of f(Q)$f(Q)$ gravity is explored, employing the standard framework of dynamical system analysis. The power‐law f(Q)$f(Q)$ model is considered, incorporating two different forms of interacting DE and DM: 3αHρm$3\alpha H\rho _m$ and α3HρmρDE$\frac ...
Gaurav N. Gadbail, Simran Arora, Phongpichit Channuie, P. K. Sahoo   +3 more
wiley   +1 more source