Results 21 to 30 of about 339,702 (103)
Parameter optimization in differential geometry based solvation models. [PDF]
Journal of Chemical Physics, 2015 Differential geometry (DG) based solvation models are a new class of variational implicit solvent approaches that are able to avoid unphysical solvent-solute boundary definitions and associated geometric singularities, and dynamically couple polar and ...
Bao Wang, Guowei Wei
semanticscholar +1 more source
Geometric and Extensor Algebras and the Differential Geometry of Arbitrary Manifolds
, 2007 We give in this paper which is the third in a series of four a theory of covariant derivatives of representatives of multivector and extensor fields on an arbitrary open set U of M, based on the geometric and extensor calculus on an arbitrary smooth ...
A. M. MOYA +3 more
core +2 more sources
Nilpotency and higher order derivatives in differential geometry [PDF]
arXiv, 2021 We give simple upper and lower bounds for the order of a Klein ...
arxiv
Topology of generalized complex quotients
, 2008 Consider the Hamiltonian action of a torus on a compact twisted generalized complex manifold $M$. We first observe that Kirwan injectivity and surjectivity hold for ordinary equivariant cohomology in this setting.
Atiyah +25 more
core +1 more source
APPLICATION OF DIFFERENTIAL GEOMETRY METHODS TO SLOW-FAST DYNAMIC SYSTEMS
APPLIED GEOMETRY AND ENGINEERING GRAPHICSThe slow-fast autonomous two-dimensional dynamic systems are considered. Slow-fast dynamic systems describe various physical, mechanical, and other phenomena in which the gradual evolutionary accumulation of small changes over time leads to a sudden ...
Nataliya Bondarenko +2 more
semanticscholar +1 more source
, 2018 This paper discusses and presents an overview of the proportional navigation (PN) guidance law as well as the differential geometry (DG) guidance algorithm that are used to develop the intercept course of a certain target.
Y. Alqudsi, G. El-bayoumi
semanticscholar +1 more source
Monge-Ampere equations and generalized complex geometry. The two-dimensional case
, 2006 We associate an integrable generalized complex structure to each 2-dimensional symplectic Monge-Amp\`ere equation of divergent type and, using the Gualtieri $\bar{\partial}$ operator, we characterize the conservation laws and the generating function of ...
Banos, Bertrand
core +3 more sources
Soliton equations in 2+1 dimensions and Differential geometry of curves/surfaces [PDF]
arXiv, 1999 A connection between differential geometry and soliton equations is ...
arxiv
Lectures on special Lagrangian geometry [PDF]
, 2001 We introduce special Lagrangian submanifolds in C^m and in (almost) Calabi-Yau manifolds, and survey recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.
Joyce, Dominic
core +1 more source
Curvature homogeneous spacelike Jordan Osserman pseudo-Riemannian manifolds
, 2003 Let s be at least 2. We construct Ricci flat pseudo-Riemannian manifolds of signature (2s,s) which are not locally homogeneous but whose curvature tensors never the less exhibit a number of important symmetry properties.
Bla?i? N +34 more
core +3 more sources