3D convex contact forms and the Ruelle invariant
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DOI: 10.1007/s00222-022-01107-y
Abstract: Let Ă R4 be a convex domain with smooth boundary .. We use a relation between the extrinsic curvature of . and the Ruelle invariant of the Reeb flow on . to prove that there… read more here.
Keywords: contact forms; ruelle invariant; forms ruelle; convex contact ... See more keywords
Influence and evolution mechanism of different sharpness contact forms to mechanical property of cortical bone by nanoindentation
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DOI: 10.1063/1.5021540
Abstract: Based on different damage forms of various contact forms to bone, the mechanical response and mechanism were investigated by nanoindentation under different sharpness contact forms. For the purpose of simulating the different sharpness contact forms,… read more here.
Keywords: mechanism; sharpness contact; contact forms; different sharpness ... See more keywords
Rigid constellations of closed Reeb orbits
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DOI: 10.1112/s0010437x17007448
Abstract: We use Hamiltonian Floer theory to recover and generalize a classic rigidity theorem of Ekeland and Lasry. That theorem can be rephrased as an assertion about the existence of multiple closed Reeb orbits for certain… read more here.
Keywords: rigid constellations; contact forms; reeb; closed reeb ... See more keywords