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The numerical approximation of the minimum problem: ${min}_{A \subseteq Ω} \tilde{F} (A)$ , is considered, where $\tilde{F} (A) = P_{Ω} (A) + \cos (θ) H^{n - 1} (\partial A \cap \partial Ω) - \int_{A} κ$ . The solution to this problem is a set $A \subseteq Ω \subset R^{n}$ with prescribed mean curvature $κ$ and contact angle $θ$ at the intersection of $\partial A$ with $\partial Ω$ . The functional $\tilde{F}$ is first relaxed with a sequence of nonconvex functionals defined in $H^{1} (Ω)$ which, in turn, are discretized by finite elements. The $Γ$ -convergence of the discrete functionals to $\tilde{F}$ as well as the compactness of any sequence of discrete absolute minimizers are proven.

$η$ -Ricci Solitons on $η$ -Einstein ${(L C S)}_{n}$ -Manifolds

Shyamal Kumar Hui, Debabrata Chakraborty (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The object of the present paper is to study $η$ -Ricci solitons on $η$ -Einstein ${(L C S)}_{n}$ -manifolds. It is shown that if $ξ$ is a recurrent torse forming $η$ -Ricci soliton on an $η$ -Einstein ${(L C S)}_{n}$ -manifold then $ξ$ is (i) concurrent and (ii) Killing vector field.

$κ$ -Minkowski spacetimes and DSR algebras: fresh look and old problems.

Borowiec, Andrzej, Pachol, Anna (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

$μ$ -minkowskianity of the Schwarzschild universe

Gaetano Zampieri (1980)

Rendiconti del Seminario Matematico della Università di Padova

π-geodesics and lines of shadow

K. Radziszewski (1972)

Colloquium Mathematicae

$φ$ -recurrent trans-Sasakian manifolds

H. G. Nagaraja (2011)

Matematički Vesnik

$φ (Ric)$ -vector fields in Riemannian spaces

Irena Hinterleitner, Volodymyr A. Kiosak (2008)

Archivum Mathematicum

In this paper we study vector fields in Riemannian spaces, which satisfy $\nabla ϕ = μ$ , $𝐑𝐢𝐜$ , $μ = const.$ We investigate the properties of these fields and the conditions of their coexistence with concircular vector fields. It is shown that in Riemannian spaces, noncollinear concircular and $ϕ (Ric)$ -vector fields cannot exist simultaneously. It was found that Riemannian spaces with $ϕ (Ric)$ -vector fields of constant length have constant scalar curvature. The conditions for the existence of $ϕ (Ric)$ -vector fields in symmetric spaces are given....

$ϕ$ -symmetric spaces and weak symmetry

Jürgen Berndt, Lieven Vanhecke (1999)

Bollettino dell'Unione Matematica Italiana

Proviamo che tutti gli spazi semplicemente connessi $ϕ$ -simmetrici sono debolmente simmetrici e quindi commutativi.

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(n-2)-tightness and curvature of submanifolds with boundary.

...-platitude des Structures de Contact.

$𝔰𝔩 (2)$ -trivial deformations of ${Vect}_{Pol} (ℝ)$ -modules of symbols.

“Strong” extrema of functionals defined on Riemannian 2-manifolds.

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$Γ$ -convergence of discrete approximations to interfaces with prescribed mean curvature

$η$ -Ricci Solitons on $η$ -Einstein ${(L C S)}_{n}$ -Manifolds

$κ$ -Minkowski spacetimes and DSR algebras: fresh look and old problems.

$μ$ -minkowskianity of the Schwarzschild universe

π-geodesics and lines of shadow

$φ$ -recurrent trans-Sasakian manifolds

$φ (Ric)$ -vector fields in Riemannian spaces

$ϕ$ -symmetric spaces and weak symmetry

Автоморфизмы расслоенных пространств

Аксиоматика общерелятивистского и финслерова пространство-времен посредством причинности

Алгебра деформации, ассоциированная с полем Кодацци.

Алгебра обобщенных полей Якоби

Currently displaying 41 – 60 of 688