Results 31 to 40 of about 339,702 (103)
Minimal surfaces - variational theory and applications [PDF]
Minimal surfaces are among the most natural objects in Differential Geometry, and have been studied for the past 250 years ever since the pioneering work of Lagrange.
Marques, Fernando Coda
core
Marginal deformations of heterotic $G_2$ sigma models
Recently, the infinitesimal moduli space of heterotic $G_2$ compactifications was described in supergravity and related to the cohomology of a target space differential.
Fiset, Marc-Antoine+2 more
core +2 more sources
Exploring differential geometry in neural implicits [PDF]
Tiago Novello+5 more
semanticscholar +1 more source
Rationality in Differential Algebraic Geometry [PDF]
Parametric Cartan theory of exterior differential systems, and explicit cohomology of projective manifolds reveal united rationality features of differential algebraic geometry.
arxiv
The structure of algebraic covariant derivative curvature tensors
We use the Nash embedding theorem to construct generators for the space of algebraic covariant derivative curvature ...
B. FIEDLER+8 more
core +2 more sources
Curvature in Synthetic Differential Geometry of Groupoids [PDF]
We study the fundamental properties of curvature in groupoids within the framework of synthetic differential geometry. As is usual in synthetic differential geometry, its combinatorial nature is emphasized. In particular, the classical Bianchi identity is deduced from its combinatorial one.
arxiv
Extended Riemannian Geometry II: Local Heterotic Double Field Theory
We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT.
Deser, Andreas+2 more
core +1 more source
On Bernstein-type theorems [PDF]
We summarize results concerning the Bernstein property of differential equations.
arxiv
Manifolds with parallel differential forms and Kaehler identities for G_2-manifolds
Let M be a compact Riemannian manifold equipped with a parallel differential form \omega. We prove a version of Kaehler identities in this setting. This is used to show that the de Rham algebra of M is weakly equivalent to its subquotient $(H^*_c(M), d)$,
Acharya+38 more
core +1 more source
Constant Mean Curvature n-noids with Platonic Symmetries [PDF]
Constant Mean Curvature n-noids with Platonic ...
arxiv