Edward Goldstein

most citedVolume minimization and estimates for certain isotropic submanifolds in complex projective spaces

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math.DG2004

Area comparison results for isotropic surfaces

Edward Goldstein

Consider a 2-plane $P \subset C^{n}$ and let $D$ be a bounded region in $P$ with a piecewise-smooth boundary. Let $I (D)$ be the infimum of areas of all piecewise-smooth isot…

math.DG2004★ 1 cited

Volume minimization and estimates for certain isotropic submanifolds in complex projective spaces

Edward Goldstein

In this note we show the following result using the integral-geometric formula of R. Howard: Consider the totally geodesic $R P^{2 m}$ in $C P^{n}$ . Then it minimizes…

math.DG2003★ 5 cited

Some estimates related to Oh's conjecture for the Clifford tori in CP^n

Edward Goldstein

This note is motivated by Y.G. Oh's conjecture that the Clifford torus $L_{n}$ in $C P^{n}$ minimizes volume in its Hamiltonian deformation class. We show that there exist expl…