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Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams
Riemannian filling-discs van Kampen diagrams
2015/8/26
The diameter of a disc filling a loop in the universal covering of a Riemannian manifold M may be measured extrinsically using the distance function on the ambient space or intrinsically using the ind...
Extrinsic curvature, geometric optics, and lamellar order on curved substrates
Two-dimensional layer model layer bend geometric constraints and physical effects
2014/12/19
When thermal energies are weak, two-dimensional lamellar structures confined on a curved substrate display complex patterns arising from the competition between layer bending and compression in the pr...
Extrinsic hyperspheres in manifolds with special holonomy
Universitat Stuttgart Andrei Moroianu, CMLS
2011/8/30
Abstract: We describe extrinsic hyperspheres and totally geodesic hypersurfaces in manifolds with special holonomy. In particular we prove the nonexistence of extrinsic hyperspheres in quaternion-Kaeh...
Hypersurfaces with small extrinsic radius or large $\lambda_1$ in Euclidean spaces
Mean curvature Reilly inequality Laplacian Spectrum pinching results
2010/12/3
We prove that hypersurfaces of Rn+1 which are almost extremal for the
Reilly inequality on 1 and have Lp-bounded mean curvature (p > n) are Hausdorff close to a sphere, have almost constant mean cur...
Novel statistical ensemble analysis for simulating extrinsic noise-driven response in NF-κB signaling network
Novel statistical ensemble analysis simulating extrinsic noise-driven response NF-κB signaling network
2010/11/15
Cellular responses in the single cells are known to be highly heterogeneous and individualistic due to the strong influence by extrinsic and intrinsic noise. Here, we are concerned about how to model ...
Comparison of exit moment spectra for extrinsic metric balls
Riemannian submanifolds extrinsic balls torsional rigidity L1-moment spectra
2010/12/1
We prove explicit upper and lower bounds for the L1-moment spectra for the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in ambient Riemannian spaces Nn.
Extrinsic geometric flows on foliated manifolds, II
geometric flow soliton principal curvature totally umbilical extrinsic Ricci curvature
2010/12/15
Extrinsic Geometric Flows (EGF) for a codimension-one foliation have been recently introduced by authors as deformations of Riemannian metrics subject to quantities expressed in terms of its second fu...
Experimental Separation of Phonon and Extrinsic Scattering in 2D Carrier Gases in GaAs
Phonon 2D Carrier Gases Extrinsic Scattering
2010/4/16
A new method which separates phonon scattering from extrinsic scattering in 2D gases in GaAs is presented. In contrast to previous ones, the technique makes no assumptions about the temperature depend...