Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Some nonexistence theorems on stable minimal submanifolds

100%

Li H.

Colloquium Mathematicum

1997

tom 73

nr 1

1-13

We prove that there exist no stable minimal submanifolds in some n-dimensional ellipsoids, which generalizes J. Simons' result about the unit sphere and gives a partial answer to Lawson–Simons' conjecture.

The gaps in the spectrum of the Schrödinger operator

63%

Li H., Su L.

Banach Center Publications

2005

tom 69

nr 1

91-102

We obtain inequalities between the eigenvalues of the Schrödinger operator on a compact domain Ω of a submanifold M in $R^{N}$ with boundary ∂Ω, which generalize many existing inequalities for the Laplacian on a bounded domain of a Euclidean space. We also establish similar inequalities for a closed minimal submanifold in the unit sphere, which generalize and improve Yang-Yau's result.

Ograniczanie wyników

1 Banach Center Publications

1 Colloquium Mathematicum

2 Li H.

1 Su L.

1 2005

1 1997

Wyniki wyszukiwania

Some nonexistence theorems on stable minimal submanifolds

The gaps in the spectrum of the Schrödinger operator