Zobrazeno 1 - 10
of 1 740
pro vyhledávání: '"Schulz, a. B."'
Autor:
Schulz, Mario B.
We prove that strictly mean convex toroids contain infinitely many (geometrically distinct) embedded free boundary minimal M\"obius bands as well as infinitely many embedded free boundary minimal annuli. The surfaces in both families are constructed
Externí odkaz:
http://arxiv.org/abs/2410.05781
We use variational methods to construct a free boundary minimal surface in the three-dimensional unit ball with genus one, two boundary components and prismatic symmetry. Key ingredients are an extension of the equivariant min-max theory to include o
Externí odkaz:
http://arxiv.org/abs/2409.12588
We employ partitioning methods, in the spirit of Montiel--Ros but here recast for general actions of compact Lie groups, to prove effective lower bounds on the Morse index of certain families of closed minimal hypersurfaces in the round four-dimensio
Externí odkaz:
http://arxiv.org/abs/2407.11147
Autor:
Schulz, Mario B.
We employ equivariant variational methods to construct new examples of nonplanar free boundary minimal discs in ellipsoids. We also prove that every ellipsoid contains at least three distinct embedded free boundary minimal annuli with dihedral symmet
Externí odkaz:
http://arxiv.org/abs/2406.13465
Autor:
Ashraf, M Ramish, Melemenidis, Stavros, Liu, Kevin, Grilj, Veljko, Jansen, Jeannette, Velasquez, Brett, Connell, Luke, Schulz, Joseph B, Bailat, Claude, Libed, Aaron, Manjappa, Rakesh, Dutt, Suparna, Soto, Luis, Lau, Brianna, Garza, Aaron, Larsen, William, Skinner, Lawrie, Yu, Amy S, Surucu, Murat, Graves, Edward E, Maxim, Peter G, Kry, Stephen F., Vozenin, Marie-Catherine, Schüler, Emil, Loo Jr, Billy W
We conducted a multi-institutional audit of dosimetric variability between FLASH and conventional dose rate (CONV) electron irradiations by using an anatomically realistic 3D-printed mouse phantom. A CT scan of a live mouse was used to create a 3D mo
Externí odkaz:
http://arxiv.org/abs/2309.16836
We construct free boundary minimal disc stackings, with any number of strata, in the three-dimensional Euclidean unit ball, and prove uniform, linear lower and upper bounds on the Morse index of all such surfaces. Among other things, our work implies
Externí odkaz:
http://arxiv.org/abs/2308.07138
Autor:
Franz, Giada, Schulz, Mario B.
We establish general bounds on the topology of free boundary minimal surfaces obtained via min-max methods in compact, three-dimensional ambient manifolds with mean convex boundary. We prove that the first Betti number is lower semicontinuous along m
Externí odkaz:
http://arxiv.org/abs/2307.00941
We adapt and extend the Montiel-Ros methodology to compact manifolds with boundary, allowing for mixed (including oblique) boundary conditions and also accounting for the action of a finite group $G$ together with an additional twisting homomorphism
Externí odkaz:
http://arxiv.org/abs/2301.03055
Autor:
Huang, Charles, Vasudevan, Varun, Pastor-Serrano, Oscar, Islam, Md Tauhidul, Nomura, Yusuke, Dubrowski, Piotr, Wang, Jen-Yeu, Schulz, Joseph B., Yang, Yong, Xing, Lei
Objective: Knowledge based planning (KBP) typically involves training an end-to-end deep learning model to predict dose distributions. However, training end-to-end methods may be associated with practical limitations due to the limited size of medica
Externí odkaz:
http://arxiv.org/abs/2206.02912
The topology and symmetry group of a free boundary minimal surface in the three-dimensional Euclidean unit ball do not determine the surface uniquely. We provide pairs of non-isometric free boundary minimal surfaces having any sufficiently large genu
Externí odkaz:
http://arxiv.org/abs/2205.04861