A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf
.
Index of Embedded Networks in the Sphere
[article]
2021
arXiv
pre-print
In this paper, we will compute the Morse index and nullity for the stationary embedded networks in spheres. The key theorem in the computation is that the index (and nullity) for the whole network is related to the index (and nullity) of small networks and the Dirichlet-to-Neumann map defined in this paper. Finally, we will show that for all stationary triple junction networks in 𝕊^2, there is only one eigenvalue (without multiplicity) -1, which is less than 0, and the corresponding
arXiv:2110.12653v2
fatcat:kd4xyc4ucrebdh5vfzuzd2hrsi