Defever, Filip and Mihai, Ion and Verstraelen, Leopold:
B.-Y. Chen's inequalities for submanifolds of Sasakian space forms
Bollettino dell'Unione Matematica Italiana Serie 8 4-B (2001), fasc. n.2, p. 521-529, Unione Matematica Italiana (English)
pdf (435 Kb), djvu (118 Kb). | MR1832002 | Zbl 1121.53320
Sunto
Recentemente, B.-Y. Chen ha introdotto una nuova serie di invarianti $\delta( n_{1} , \ldots, n_{k} )$ riemanniani per ogni varietà riemanniana. Ha anche ottenuto disuguaglianze strette per questi invarianti per sottovarietà di forme spaziali reali e complesse in funzione della loro curvatura media. Nel presente lavoro proviamo analoghe stime per gli invarianti $\delta( n_{1} , \ldots, n_{k} )$ per sottovarietà $C$-totalmente reali e $CR$ di contatto di una forma spaziale di Sasaki $\widetilde{M}(c)$.
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