Results 71 to 80 of about 48,546 (184)
Definition and Computation of Tensor‐Based Generalized Function Composition
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley +1 more source
A general approach to the linear stability of viscoelastic shear‐flows
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley +1 more source
A complex network perspective on brain disease
ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
On the total absolute curvature of manifolds immersed in Riemannian manifolds. III.
Willmore and Saleemi [12] had generalized Chern-Lashof s results by definingthe total curvature of an orientable manifold immersed in a Riemannian manifold,but unfortunately, the results contained mistakes, and hence they are false.The object of this paper is to generalize the Lipschitz-Killing curvature to themanifolds immersed in a complete, simply ...
openaire +5 more sources
Discussion of ‘Robust distance covariance’ by S. Leyder, J. Raymaekers and P. J. Rousseeuw
International Statistical Review, EarlyView.
Hallin Marc +3 more
wiley +1 more source
Reverse isoperimetric inequalities for Lagrangian intersection Floer theory
Abstract We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on Rn∩(Rk×−1Rn−k)$\mathbb {R}^n\cap (\mathbb {R}^{k}\times \sqrt {-1}\mathbb {R}^{n-k})$ inside Cn$\mathbb {C}
J. ‐P. Chassé, J. Hicks, Y. J. Nho
wiley +1 more source
The Morse Index of Sacks–Uhlenbeck α-Harmonic Maps for Riemannian Manifolds
In this paper, first we prove a nonexistence theorem for α-harmonic mappings between Riemannian manifolds. Second, the instability of nonconstant α-harmonic maps is studied with regard to the Ricci curvature criterion of their codomain. Then, we estimate
Amir Shahnavaz +2 more
doaj +1 more source
Witten genera of complete intersections
Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\text{Spin}^c$‐manifolds and in other Spinc$\text{Spin}^c$‐manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz.
Michael Wiemeler
wiley +1 more source
Hyperbolic Gradient-Bourgoignon Flow
Introduction Ricci solitons as a generalization of Einstein manifolds introduced by Hamilton in mid 1980s. In the last two decades, a lot of researchers have been done on Ricci solitons.
Hamed Faraji +2 more
doaj
A CERTAIN INEQUALITY ON RIEMANNIAN MANIFOLDS OF POSITIVE CURVATURE, II
The author considers an \(m\)-dimensional (\(m \geq 5\), \(m\) odd) compact, connected, non-simply connected Riemannian manifold \(M\) with sectional curvature \(K_ M \geq 1\), and an \(n\)-dimensional (\(n \geq 1\)) compact connected submanifold \(N\) embedded in \(M\).
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