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20002023
most citedQuaternionic holomorphic geometry: Pluecker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori

94 citations · 154 across the 15 of their papers we have counts for

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Showing 2003Show all

2 papers · 1 filter

math.DG2003

Willmore tori in the 4-sphere with nontrivial normal bundle

K. Leschke, F. Pedit, U. Pinkall

We characterize Willmore tori in the 4-sphere with nontrivial normal bundle as Twistor projections of elliptic curves in complex projective space or as inverted minimal tori (with…

math.DG2003★ 1 cited

Envelopes and osculates of Willmore surfaces

K. Leschke, F. Pedit

We view conformal surfaces in the 4--sphere as quaternionic holomorphic curves in quaternionic projective space. By constructing enveloping and osculating curves, we obtain new hol…