منابع مشابه
Hofer-Zehnder capacity and length minimizing paths in the Hofer norm
We use the criteria of Lalonde and McDuff to determine a new class of examples of length minimizing paths in the group Ham(M). For a compact symplectic manifold M of dimension two or four, we show that a path inHam(M), generated by an autonomous Hamiltonian and starting at the identity, which induces no non-constant closed trajectories of points in M , is length minimizing among all homotopic p...
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Recently Feng Qi has presented a sharp inequality between the sum of squares and the exponential of the sum of a nonnegative sequence. His result has been extended to more general power sums by Huan-Nan Shi, and, independently, by Yu Miao, Li-Min Liu, and Feng Qi. In this note we generalize those inequalitites by introducing weights and permitting more general functions. Inequalities in the opp...
متن کاملIn Memoriam Kurt G. Hofer (1939-2015).
Kurt G. Hofer, a radiation biologist and preeminent educator, unexpectedly but peacefully passed away on September 20, 2015, at the age of 76. Kurt was born in Feldkirchen in Kärnten, a town in the Austrian state of Carinthia, on March 2, 1939. He received his doctoral degree from the University of Vienna in 1965. In 1966, Kurt, accompanied by his wife Maria (Ridy) came to the United States to ...
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I n Vol. 56, No. 11, of Notices, I saw a fascinating article with the title: Changing Faces—The Mistaken Portrait of Legendre. The author, Peter Duren, writes with understandable bewilderment: “It seems incredible that such egregious error could have gone undetected for somany years.” This encouraged me to publish, in the same journal, the story—no less fascinating—of the real face of János Bol...
متن کاملQuantum characteristic classes and the Hofer metric
Given a closed monotone symplectic manifold M , we define certain characteristic cohomology classes of the free loop space LHam(M, ω) with values in QH∗(M) , and their S1 equivariant version. These classes generalize the Seidel representation and satisfy versions of the axioms for Chern classes. In particular there is a Whitney sum formula, which gives rise to a graded ring homomorphism from th...
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ژورنال
عنوان ژورنال: Finnisch-Ugrische Forschungen
سال: 2018
ISSN: 0355-1253,0355-1253
DOI: 10.33339/fuf.79550