Geometrodynamics of wormholes
Global geometric structures associated with dynamical systems admitting normal shift of hypersurfaces in Riemannian manifolds.
Global minimizers for axisymmetric multiphase membranes
We consider a Canham − Helfrich − type variational problem defined over closed surfaces enclosing a fixed volume and having fixed surface area. The problem models the shape of multiphase biomembranes. It consists of minimizing the sum of the Canham − Helfrich energy, in which the bending rigidities and spontaneous curvatures are now phase-dependent, and a line tension penalization for the phase interfaces. By restricting attention to axisymmetric surfaces and phase distributions, we extend our previous...
Infinitesimal holonomy group structure and geometrization
Interface dynamics for an anisotropic Allen-Cahn equation
Intertwinors on functions over the product of spheres.
Introduction to Grassmann manifolds and quantum computation.
Komplexní vesmír Rogera Penrose
Lagrangians and higher order tangent spaces.
Les inégalités de Morse
L'inégalité de Penrose
Lorentz manifolds and general relativity theory.
Magnetic flows and Gaussian thermostats on manifolds of negative curvature
We consider a class of flows which includes both magnetic flows and Gaussian thermostats of external fields. We give sufficient conditions for such flows on manifolds of negative sectional curvature to be Anosov.
Metric tensors for homogeneous, isotropic, 5-dimensional pseudo Riemannian models.
Multivector fields and connections. Applications to field theories.
Se estudia la integrabilidad de campos multivectoriales en variedades diferenciables y la relación entre algunos tipos de campos multivectoriales en un fibrado de jets y conexiones en dicho fibrado. Como caso particular se relacionan los campos multivectoriales integrables y las conexiones cuyas secciones integrales son holonómicas. Como aplicación de todo ello, estos resultados permiten escribir las ecuaciones de campo de las teorías clásicas de campos de primer orden en varias formas equivalentes....
Non-Euclidean structures as internal variables in non-equilibrium thermomechanics.
Notable curves in geometrized framework.
On certain Einstein space-time
On n class of capacities on complex manifolds endowed with an hermitian structure and their relation to elliptic and hyperbolic quasiconformal mappings [Book]
On Riemann and Weyl Compatible Tensors