Makale detayı · 2008 · article
Cotton flow
Veri kaynağı ayrımı
- YÖKSİSYÖKSİS makale kaydı
- YÖKSİS dergi adıClassical and Quantum Gravity
- Katalog eşleşmesi (ISSN)Classical and Quantum Gravity
- OpenAlexOpenAlex zenginleştirmesi (özet, atıf, konular)
- Semantic Scholaratıf sayısı (OpenAlex ile birleştirilmez)
Özet
Using the conformally-invariant Cotton tensor, we define a geometric flow, the Cotton flow , which is exclusive to three dimensions. This flow tends to evolve the initial metrics into conformally flat ones, and is somewhat orthogonal to the Yamabe flow, the latter being a flow within a conformal class. We define an entropy functional, and study the flow of nine homogeneous spaces both numerically and analytically. In particular, we show that the arbitrarily deformed homogeneous 3-sphere flows into the round 3-sphere. Two of the nine homogeneous geometries, which are degenerated by the Ricci flow, are left intact by the Cotton flow.
Konular
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Yerel katalogda bu makaleye atıf yapan 13 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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