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19992004
most citedLower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure

6 citations · 6 across the 2 of their papers we have counts for

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math.DG2004★ 6 cited

Lower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure

Eui Chul Kim

We study some similarities between almost product Riemannian structures and almost Hermitian structures. Inspired by the similarities, we prove lower eigenvalue estimates for the D…

math.DG2003

Remark on the Limit Case of Positive Mass Theorem for Manifolds with Inner Boundary

Eui Chul Kim

In [5] Herzlich proved a new positive mass theorem for Riemannian 3-manifolds whose mean curvature of the boundary allows some positivity. In this paper we study what happ…

math.DG1999

Some Remarks on the Hijazi Inequality and Generalizations of the Killing Equation for Spinors

Thomas Friedrich, Eui Chul Kim

We generalize the well-known lower estimates for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold proved by Th. Friedrich (1980) and O. Hijazi (1986…