Katherine Castro

ORCID: 0000-0002-7029-3529
Publications
Citations
Views
---
Saved
---
About
Contact & Profiles
Research Areas
  • Geometric Analysis and Curvature Flows
  • Nonlinear Partial Differential Equations
  • Point processes and geometric inequalities
  • Geometry and complex manifolds
  • Numerical methods in inverse problems
  • Analytic and geometric function theory
  • Business, Innovation, and Economy
  • Algal biology and biofuel production
  • Plant and soil sciences
  • Agricultural and Food Production Studies

Universidad de Granada
2014-2022

Universidad de América
2014

University of Caldas
2009

10.1016/j.geomphys.2014.01.013 article EN publisher-specific-oa Journal of Geometry and Physics 2014-02-06

Se buscó establecer el efecto que tiene la variación de relación Carbono: Nitrógeno en producción biomasa y ácidos grasos microalga Chlorella vulgaris, empleando como medio cultivo control fertilizante foliar forma líquida. Fueron evaluadas tres diferentes relaciones (1:1, 1:5 15:1), comparadas con a escala laboratorio, además se evaluó concentración celular por curvas crecimiento durante 15 días. La obtenida luego procesos secuenciales sedimentación, centrifugación...

10.29097/2011-639x.159 article ES cc-by-nc-nd Revista de Investigación 2014-01-01

Given a compact Riemannian manifold with density M without boundary and the real line R constant density, we prove that isoperimetric regions of large volume in M×R product are slabs form M×[a,b]. We previously prove, as necessary step, existence any where subgroup group transformations preserving weighted perimeter acts cocompactly.

10.1016/j.na.2021.112726 article EN cc-by Nonlinear Analysis 2021-12-10

For a Riemannian manifold M, possibly with boundary, we consider the product M×Rk smooth positive function that weights measures. In this work characterize parabolic hypersurfaces non-empty boundary and contained within certain regions of suitable weights. Our results include half-space Bernstein-type theorems in weighted cylinders. We also generalize to setting some classical properties about confinement compact minimal hypersurface Euclidean space according position its boundary. Finally,...

10.1016/j.jmaa.2022.126143 article EN cc-by Journal of Mathematical Analysis and Applications 2022-03-05

For a Riemannian manifold $M$, possibly with boundary, we consider the product $M\times\mathbb{R}^k$ smooth positive function that weights measures. In this work characterize parabolic hypersurfaces non-empty boundary and contained within certain regions of suitable weights. Our results include half-space Bernstein-type theorems in weighted cylinders. We also generalize to setting some classical properties about confinement compact minimal hypersurface Euclidean space according position its...

10.48550/arxiv.2203.00301 preprint EN other-oa arXiv (Cornell University) 2022-01-01

Given a compact Riemannian manifold with density $M$ without boundary and the real line $\mathbb{R}$ constant density, we prove that isoperimetric regions of large volume in $M\times\mathbb{R}$ product are slabs form $M\times [a,b]$. We previously prove, as necessary step, existence any where subgroup group transformations preserving weighted perimeter acts cocompactly.

10.48550/arxiv.2108.03207 preprint EN other-oa arXiv (Cornell University) 2021-01-01
Coming Soon ...