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math.FA2017★ 1 cited
Some results on strongly operator convex functions and operator monotone functions
Lawrence G. Brown, Mitsuru Uchiyama
This paper concerns three classes of real-valued functions on intervals, operator monotone functions, operator convex functions, and strongly operator convex functions. Strongly op…
math.DG2017
Complete Yamabe solitons with finite total scalar curvature
Shun Maeta
In this paper, we show that steady or shrinking complete gradient Yamabe solitons with finite total scalar curvature and non-positive Ricci curvature are Ricci flat. Moreover, unde…