Sentence examples similar to stable minimal surface in from inspiring English sources

Later, Bérard et al. [8] improved the upper bound for complete stable minimal surfaces in (mathbb{H}^{3} -1)).

Indeed, they proved that the fundamental tone of complete stable minimal surfaces in (mathbb{H}^{3} (-1)) is at most (frac{4}{7}).

Clearly, (D) is a stable minimal surface whose boundary is contained in the totally geodesic two-sphere ({x in S^3: langle a_0,x rangle = 0}).

Another basic example of a minimal surface in (S^3) is the so-called Clifford torus.

Therefore, any immersed minimal surface in (S^3) of genus (1) must have area at least (2pi ^2pi

Assume that is a compact minimal surface in the outside such that is orthogonal to along.

(Urbano [52]) Let (Sigma ) be an immersed minimal surface in (S^3) of genus at least (1).

A key step is the construction by min-max theory of a sequence of closed minimal surfaces in a manifold N with non-empty stable boundary, and I will explain how to achieve this via the construction of a non-compact cylindrical manifold.

We provide a probabilistic approach to studying minimal surfaces in R3.

We consider the behavior of the nonlocal minimal surfaces in the vicinity of the boundary.

While there are no closed minimal surfaces in (mathbb{R }^3), there do exist interesting examples of closed minimal surfaces in (S^3).