Stationary Values of Sectional Curvature in Grassmann Manifolds of Bivectors |
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Authors: | S E Kozlov |
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Institution: | (1) St.Petersburg State University, Russia |
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Abstract: | In the Grassmann manifold G
2,n
+
of bivectors (n4), the sectional curvature K() in the direction of a 2-plane takes values in 0,2]. All stationary values a of K() such that the gradient K|=0 vanishes for at least one 0 K–1(a) are found. The values are {0,1,2} for n=4, {0,1/5,1,2} for n=5, and {0,1/5,1/2,1,2} for n6. Bibliography: 7 titles. |
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Keywords: | |
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