Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949968414> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2949968414 abstract "Let $F:Sigma^n times [0,T)to R^{n+m}$ be a family of compact immersed submanifolds moving by their mean curvature vectors. We show the Gauss maps $gamma:(Sigma^n, g_t)to G(n, m)$ form a harmonic heat flow with respect to the time-dependent induced metric $g_t$. This provides a more systematic approach to investigating higher codimension mean curvature flows. A direct consequence is any convex function on $G(n,m)$ produces a subsolution of the nonlinear heat equation on $(Sigma, g_t)$. We also show the condition that the image of the Gauss map lies in a totally geodesic submanifold of $G(n, m)$ is preserved by the mean curvature flow. Since the space of Lagrangian subspaces is totally geodesic in G(n,n), this gives an alternative proof that any Lagrangian submanifold remains Lagrangian along the mean curvature flow." @default.
- W2949968414 created "2019-06-27" @default.
- W2949968414 creator A5069918397 @default.
- W2949968414 date "2002-09-16" @default.
- W2949968414 modified "2023-09-27" @default.
- W2949968414 title "Gauss Maps of the Mean Curvature Flow" @default.
- W2949968414 cites W1509364003 @default.
- W2949968414 cites W1530161281 @default.
- W2949968414 cites W1534420431 @default.
- W2949968414 cites W1587723526 @default.
- W2949968414 cites W1635684665 @default.
- W2949968414 cites W1865488894 @default.
- W2949968414 cites W2009429030 @default.
- W2949968414 cites W2036157899 @default.
- W2949968414 cites W2047359073 @default.
- W2949968414 cites W2058590426 @default.
- W2949968414 cites W2062346296 @default.
- W2949968414 cites W2073421794 @default.
- W2949968414 cites W2083796387 @default.
- W2949968414 cites W2156534400 @default.
- W2949968414 cites W2164054420 @default.
- W2949968414 hasPublicationYear "2002" @default.
- W2949968414 type Work @default.
- W2949968414 sameAs 2949968414 @default.
- W2949968414 citedByCount "0" @default.
- W2949968414 crossrefType "posted-content" @default.
- W2949968414 hasAuthorship W2949968414A5069918397 @default.
- W2949968414 hasConcept C12362212 @default.
- W2949968414 hasConcept C127813850 @default.
- W2949968414 hasConcept C134306372 @default.
- W2949968414 hasConcept C151300846 @default.
- W2949968414 hasConcept C16140857 @default.
- W2949968414 hasConcept C165818556 @default.
- W2949968414 hasConcept C16977076 @default.
- W2949968414 hasConcept C175017881 @default.
- W2949968414 hasConcept C195065555 @default.
- W2949968414 hasConcept C202444582 @default.
- W2949968414 hasConcept C2524010 @default.
- W2949968414 hasConcept C3019300132 @default.
- W2949968414 hasConcept C33923547 @default.
- W2949968414 hasConcept C38349280 @default.
- W2949968414 hasConcept C83979697 @default.
- W2949968414 hasConceptScore W2949968414C12362212 @default.
- W2949968414 hasConceptScore W2949968414C127813850 @default.
- W2949968414 hasConceptScore W2949968414C134306372 @default.
- W2949968414 hasConceptScore W2949968414C151300846 @default.
- W2949968414 hasConceptScore W2949968414C16140857 @default.
- W2949968414 hasConceptScore W2949968414C165818556 @default.
- W2949968414 hasConceptScore W2949968414C16977076 @default.
- W2949968414 hasConceptScore W2949968414C175017881 @default.
- W2949968414 hasConceptScore W2949968414C195065555 @default.
- W2949968414 hasConceptScore W2949968414C202444582 @default.
- W2949968414 hasConceptScore W2949968414C2524010 @default.
- W2949968414 hasConceptScore W2949968414C3019300132 @default.
- W2949968414 hasConceptScore W2949968414C33923547 @default.
- W2949968414 hasConceptScore W2949968414C38349280 @default.
- W2949968414 hasConceptScore W2949968414C83979697 @default.
- W2949968414 hasLocation W29499684141 @default.
- W2949968414 hasOpenAccess W2949968414 @default.
- W2949968414 hasPrimaryLocation W29499684141 @default.
- W2949968414 hasRelatedWork W142753777 @default.
- W2949968414 hasRelatedWork W1604759550 @default.
- W2949968414 hasRelatedWork W1964801973 @default.
- W2949968414 hasRelatedWork W1969043925 @default.
- W2949968414 hasRelatedWork W1975069408 @default.
- W2949968414 hasRelatedWork W1979012533 @default.
- W2949968414 hasRelatedWork W2017402340 @default.
- W2949968414 hasRelatedWork W2035765954 @default.
- W2949968414 hasRelatedWork W2071788826 @default.
- W2949968414 hasRelatedWork W2085098003 @default.
- W2949968414 hasRelatedWork W2145096531 @default.
- W2949968414 hasRelatedWork W2230740906 @default.
- W2949968414 hasRelatedWork W2354079033 @default.
- W2949968414 hasRelatedWork W2532743240 @default.
- W2949968414 hasRelatedWork W2739240281 @default.
- W2949968414 hasRelatedWork W2951634378 @default.
- W2949968414 hasRelatedWork W2963302444 @default.
- W2949968414 hasRelatedWork W3039075164 @default.
- W2949968414 hasRelatedWork W3102557108 @default.
- W2949968414 hasRelatedWork W862449050 @default.
- W2949968414 isParatext "false" @default.
- W2949968414 isRetracted "false" @default.
- W2949968414 magId "2949968414" @default.
- W2949968414 workType "article" @default.