Results 191 to 200 of about 7,482 (208)
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Chinese Annals of Mathematics, Series B, 2006
Ricci solitons are natural generalizations of Einstein metrics on one hand, and are special solutions of the Ricci flow of Hamilton on the other hand. In this paper we survey some of the recent developments on Ricci solitons and the role they play in the singularity study of the Ricci flow.
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Ricci solitons are natural generalizations of Einstein metrics on one hand, and are special solutions of the Ricci flow of Hamilton on the other hand. In this paper we survey some of the recent developments on Ricci solitons and the role they play in the singularity study of the Ricci flow.
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Ricci soliton homogeneous nilmanifolds
Mathematische Annalen, 2001The article is devoted to metrics on a Riemannian manifold satisfying \(\text{Ric}_g= cI+D\) for some \(c\in\mathbb{R}\) and some derivation \(D\) of the Lie algebra \({\mathfrak n}\) of a nilpotent Lie group \(N\), where \(\text{Ric}_g\) denotes the Ricci operator of \((N,g)\).
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Photonic microwave generation in the X- and K-band using integrated soliton microcombs
Nature Photonics, 2020Junqiu Liu +2 more
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Parallel convolutional processing using an integrated photonic tensor core
Nature, 2021Johannes Feldmann, Nathan Youngblood
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Formation and propagation of matter-wave soliton trains
Nature, 2002Andrew G Truscott, Randall G Hulet
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Massively parallel coherent laser ranging using a soliton microcomb
Nature, 2020Johann Riemensberger, Anton Lukashchuk
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