Results 91 to 100 of about 2,836 (190)

Multiple solutions for nonlinear elliptic equations on Riemannian manifolds

Electronic Journal of Differential Equations, 2009
Let $(mathcal{M}, g)$ be a compact, connected, orientable, Riemannian $n$-manifold of class $C^{infty}$ with Riemannian metric $g$ $(ngeq 3)$. We study the existence of solutions to the equation $$ -varepsilon^2Delta_{g} u+V(x)u=K(x)|u|^{p-2}u ...
Jianfu Yang, Wenjing Chen
doaj  

Quadrants of Riemannian metrics.

Michigan Mathematical Journal, 1978
Fegan, Howard D., Millman, Richard S.
openaire   +2 more sources

Metrics and Riemannian Manifolds

Abstract In this chapter, we develop the basic geometric concepts. In line with the general structure of this text, we use a category theoretical language. While the basic notions of category theory will only be introduced later in Sect.
Lukas Silvester Barth, Hannaneh Fahimi, Parvaneh Joharinad, Jürgen Jost, Janis Keck   +4 more
openaire   +1 more source

Effect of local fractional derivatives on Riemann curvature tensor

Examples and Counterexamples
In this paper, we give a main example indicating the ineffectiveness of the local fractional derivatives on the Riemann curvature tensor that is a common tool in calculating curvature of a Riemannian manifold. For this, first we introduce a general local
Muhittin Evren Aydin
doaj   +1 more source

Ricci–Bourguignon Almost Solitons with Special Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

Mathematics
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated with each other using the tensor structure. Here, we consider a special class
Mancho Manev
doaj   +1 more source

Riemannian metric optimization on surfaces (RMOS) for intrinsic brain mapping in the Laplace-Beltrami embedding space. [PDF]

Med Image Anal, 2018
Gahm JK, Shi Y, Alzheimer’s Disease Neuroimaging Initiative.   +2 more
europepmc   +1 more source

Riemannian Metric Optimization for Connectivity-driven Surface Mapping. [PDF]

Med Image Comput Comput Assist Interv, 2016
Gahm JK, Shi Y.
europepmc   +1 more source

Riemannian metric learning for alignment of spatial multiomics. [PDF]

Bioinformatics
Halmos P, Xia Y, Raphael BJ.
europepmc   +1 more source

A General Nonuniqueness Result for Yamabe-Type Problems for Conformally Variational Riemannian Invariants. [PDF]

J Geom Anal
Andrade JH, Case JS, Piccione P, Wei J.
europepmc   +1 more source

A Pontryagin class obstruction for purely electric and purely magnetic Weyl curvature tensors. [PDF]

Lett Math Phys
de Kok T.
europepmc   +1 more source