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Some comments on the diversity of Vermeer paintings depicted on postage stamps

Oskar Maria Baksalary, George P.H. Styan (2008)

Discussiones Mathematicae Probability and Statistics

We present some comments on the diversity of the paintings by Johannes Vermeer (1632-1675) depicted on postage stamps. We have found 20 of the 36 "recognized" Vermeer paintings depicted on postage stamps issued by 29 "countries"; by country we mean here a stamp-issuing region that issues or has issued its own postage stamps. We apply Fisher's α index of biodiversity [11] to compare the diversity of Vermeer paintings depicted on postage stamps with the diversity of two other data sets [26]. We illustrate...

Some examples of homogeneous Einstein manifolds

Rodionov, E. D. (1993)

Proceedings of the Winter School "Geometry and Physics"

The author obtains the classification of all invariant Einstein metrics on the following homogeneous spaces: S U ( 3 ) / T max , S p ( 3 ) / S p ( 1 ) × S p ( 1 ) × S p ( 1 ) , F 4 / spin ( 8 ) , S U ( 5 ) / S p ( 2 ) × T 1 . Combining this with the results of other authors, the classification of all invariant Einstein metrics on all compact simply connected homogeneous spaces admitting a homogeneous Riemannian metric of positive sectional curvature is obtained.

Some natural operations between connections on fibred manifolds

Doupovec, Miroslav, Vondra, Alexandr (1996)

Proceedings of the Winter School "Geometry and Physics"

Given a fibered manifold Y X , a 2-connection on Y means a section J 1 Y J 2 Y . The authors determine all first order natural operators transforming a 2-connection on Y and a classical linear connection on X into a connection on J 1 Y Y . (The proof implies that there is no first order natural operator transforming 2-connections on Y into connections on J 1 Y Y .) Using this result, the authors deduce several properties of characterizable connections on J 1 Y X .

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