Results 31 to 40 of about 277 (116)
A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument [PDF]
, 2018 We consider the classical "Serrin symmetry result" for the overdetermined boundary value problem related to the equation $\Delta u=-1$ in a model manifold of non-negative Ricci curvature. Using an extension of the Weinberger classical argument we prove a
Roncoroni, Alberto
core +4 more sources
Global minimizers for axisymmetric multiphase membranes [PDF]
, 2012 We consider a Canham-Helfrich-type variational problem defined over closed surfaces enclosing a fixed volume and having fixed surface area. The problem models the shape of multiphase biomembranes.
Choksi, Rustum +2 more
core +6 more sources
Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms [PDF]
Journal of Inequalities and Applications, 2014 Abstract In this paper we prove two sharp inequalities that relate the normalized scalar curvature with the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we show that in both cases, the equality at all points characterizes the invariantly quasi-umbilical submanifolds.
Slesar, Vladimir +2 more
openaire +1 more source
CANAL HYPERSURFACES ACCORDING TO GENERALIZED BISHOP FRAMES IN 4-SPACE [PDF]
, 2022 In the present paper, we study the canal hypersurfaces according to generalized Bishop frames of type B (parallel transport frame), type C and type D in Euclidean 4-space and obtain the Gaussian, mean and principal curvatures of them in general form.
Altın, Mustafa, Kazan, Ahmet
core +1 more source
Taiwanese Journal of Mathematics, 2015 Comment: 10 ...
Lee, Jaewon, Vîlcu, Gabriel-Eduard
openaire +5 more sources
Equilibrium configurations of nematic liquid crystals on a torus
, 2014 The topology and the geometry of a surface play a fundamental role in determining the equilibrium configurations of thin films of liquid crystals. We propose here a theoretical analysis of a recently introduced surface Frank energy, in the case of two ...
Segatti, Antonio +2 more
core +1 more source
MathematicsWe establish an improved Chen inequality involving scalar curvature and mean curvature and geometric inequalities for Casorati curvatures, on slant submanifolds in a Lorentzian–Sasakian space form endowed with a semi-symmetric non-metric connection. Also,
Mohammed Mohammed +2 more
doaj +1 more source
Bounds of generalized normalized $$\delta $$δ-Casorati curvatures for real hypersurfaces in the complex quadric [PDF]
Arabian Journal of Mathematics, 2018 In this paper, the authors prove two optimal inequalities that relate the normalized scalar curvature with the generalized normalized Casorati curvatures for a real hypersurface in the complex quadric \(Q^m\). The proof is based on an optimization procedure involving a quadratic polynomial in the components of the second fundamental form.
Bansal, Pooja, Shahid, Mohammad Hasan
openaire +2 more sources
The Cheeger constant of curved strips
, 2011 We study the Cheeger constant and Cheeger set for domains obtained as strip-like neighbourhoods of curves in the plane. If the reference curve is complete and finite (a "curved annulus"), then the strip itself is a Cheeger set and the Cheeger constant ...
Krejcirik, David, Pratelli, Aldo
core +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop a denoising technique for displacement encoding with stimulated echoes (DENSE) MRI that improves spatial resolution, efficiency, and accuracy, and enhances accessibility by implementing DENSE MRI at 0.55 T. Methods We developed a low‐rank denoising technique, which leverages multidimensional spiral cine DENSE MRI data for ...
Shu‐Fu Shih +9 more
wiley +1 more source