5,256 research outputs found
Propellant-powered actuator for gas generators
Hydrazine operated monopropellant generators are used for spacecraft rocket engines and propellant pressurization systems. Measured work output of monopropellant actuators compares favorably with output of squib-type actuators
Rigidity results, inverse curvature flows and Alexandrov-Fenchel type inequalities in the sphere
We prove a rigidity result in the sphere which allows us to generalize a
result about smooth convex hypersurfaces in the sphere by Do Carmo-Warner to
convex -hypersurfaces. We apply these results to prove
-convergence of inverse F-curvature flows in the sphere to an
equator in \mathbb{S}^{n+1} for embedded, closed, strictly convex initial
hypersurfaces. The result holds for large classes of curvature functions
including the mean curvature and arbitrary powers of the Gauss curvature. We
use this result to prove Alexandrov-Fenchel type inequalities in the sphere.Comment: 23 pages. Compared to version 2, we removed the statement about the
isoperimetric inequality since it turned out to be false. Several typos were
correcte
- …