G.P. Pirola∗ A REMARK ABOUT MINIMAL SURFACES WITH FLAT

نویسنده

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چکیده

In questo lavoro si prova un teorema di ostruzione all’esistenza di superficie minime complete nello spazio Euclideo aventi soltanto code piatte lisce. Nella dimostrazione confluiscono tecniche di geometria algebrica (spinori su supeficie di Riemann compatte) e differenziale (herisson e formula di monotonicità). Come corollario si ottiene che una superficie minimale di genere due avente tre code piatte lisce e tipo spinoriale pari non è immergibile minimalmente in R3.

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تاریخ انتشار 2003