ar X iv : 0 80 5 . 10 03 v 1 [ m at h . SP ] 7 M ay 2 00 8 GEODESICS ON WEIGHTED PROJECTIVE SPACES
نویسنده
چکیده
We study the inverse spectral problem for weighted projective spaces using wave-trace methods. We show that in many cases one can “hear” the weights of a weighted projective space.
منابع مشابه
ar X iv : 0 80 5 . 32 59 v 1 [ m at h . A G ] 2 1 M ay 2 00 8 SELF - DUAL PROJECTIVE TORIC VARIETIES
Let T be a torus over an algebraically closed field k of characteristic 0, and consider a projective T -module P(V ). We determine when a projective toric subvariety X ⊂ P(V ) is self-dual, in terms of the configuration of weights of V .
متن کاملar X iv : 0 80 5 . 18 60 v 3 [ m at h . FA ] 2 7 M ay 2 00 8 UNCONDITIONAL BASIC SEQUENCES IN SPACES OF LARGE DENSITY
We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density אω contains an unconditional basic sequence.
متن کاملar X iv : 0 80 5 . 18 60 v 2 [ m at h . FA ] 1 5 M ay 2 00 8 UNCONDITIONAL BASIC SEQUENCES IN SPACES OF LARGE DENSITY
We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density אω contains an unconditional basic sequence.
متن کاملar X iv : 0 80 5 . 18 60 v 1 [ m at h . FA ] 1 3 M ay 2 00 8 UNCONDITIONAL BASIC SEQUENCES IN SPACES OF LARGE DENSITY
We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density אω contains an unconditional basic sequence.
متن کاملar X iv : 0 70 5 . 10 42 v 1 [ m at h . M G ] 8 M ay 2 00 7 NON - POSITIVE CURVATURE AND THE PTOLEMY INEQUALITY
We provide examples of non-locally compact geodesic Ptolemy metric spaces which are not uniquely geodesic. On the other hand, we show that locally compact, geodesic Ptolemy metric spaces are uniquely geodesic. Moreover, we prove that a metric space is CAT(0) if and only if it is Busemann convex and Ptolemy.
متن کامل