Minimal Hypersurfaces with Finite Index

By Peter Li, Jiaping Wang. 2002

90 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8ede5eb6b6a045feb6260a610a2f70df314a6fea

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jiaping Wang
2. Peter Li
3. Michele Rimoldi
4. Debora Impera
5. Ovidiu Munteanu
6. G. Carron
7. Xiaodong Wang
8. F. Ledrappier

In Geometry and Topology

1. Jiaping Wang
2. Peter Li
3. Michele Rimoldi
4. Debora Impera
5. G. Carron
6. Ovidiu Munteanu
7. Xiaodong Wang
8. F. Ledrappier

Citations in the corpus

• Stability properties and topology at infinity of $$f$$f-minimal hypersurfaces (2013, background): “[42], and Li and Wang [23], one shows that if the manifold supports a L1-Sobolev inequality outside some compact set, then all ends are non-parabolic.”
• Complete manifolds with positive spectrum, II (2001, background): “On the other hand, in the work of Cao-Shen-Zhu [4] (see Corollary 4i n [ 13 ]), they observed that if an end of a manifold has a positive lower bound for the spectrum of the Laplacian, then the end must either be non-parabolic or has finite volume.”