Ancient Solutions in Geometric Flows
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DOI: 10.1007/978-3-030-34953-0_17
Abstract: In this survey paper we discuss ancient solutions to different geometric flows, such as the Ricci flow, the mean curvature flow and the Yamabe flow. We survey the classification results of ancient solutions in the… read more here.
Keywords: geometric flows; ancient solutions; flow; solutions geometric ... See more keywords
ANCIENT SOLUTIONS OF CODIMENSION TWO SURFACES WITH CURVATURE PINCHING
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DOI: 10.1017/s0004972720000179
Abstract: We prove rigidity theorems for ancient solutions of geometric flows of immersed submanifolds. Specifically, we find conditions on the second fundamental form that characterise the shrinking sphere among compact ancient solutions for the mean curvature… read more here.
Keywords: surfaces curvature; two surfaces; solutions codimension; ancient solutions ... See more keywords
ANCIENT SOLUTIONS OF CODIMENSION TWO SURFACES WITH CURVATURE PINCHING – RETRACTION
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972721000022
Abstract: [1] C. Baker and H. T. Nguyen, ‘Codimension two surfaces pinched by normal curvature evolving by mean curvature flow’, Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), 1599–1610. [2] Z. Ji, ‘Ancient solutions of… read more here.
Keywords: two surfaces; curvature pinching; solutions codimension; ancient solutions ... See more keywords