The Lagrangian Gauss image of a compact surface in Minkowski 3-Space |
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Authors: | Marek Kossowski |
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Affiliation: | (1) Department of Mathematics, University of South Carolina, 29208 Columbia, SC, USA |
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Abstract: | A generic compact surfaceQ in Minkowski 3-Space is naturally stratified by the loci where the orthogonal line bundle is tangent to the next lower stratum,SP D0 Q M3. To each component inD0 we associate a light-like hypersurface and in turn a Lagrangian loop in the cotangent bundle of the circle. We then establish an inequality relating the Euler characteristic of the indefinite component ofQ with the total Gauß-Maslov index of the associated Lagrangian loops. |
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Keywords: | 53C20 C22 C42 58A20 |
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