Extension of covariant derivative (I): from component form to objective form

DOI10.1007/S10409-015-0003-YzbMath1345.53012OpenAlexW2152919573MaRDI QIDQ314724

Ya-jun Yin

Publication date: 16 September 2016

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-015-0003-y

zbMATH Keywords

axiom of covariant form invariabilitytensor analysisclassical covariant derivativescovariant differential ringgeneralized covariant derivatives

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45)

Related Items (3)

Generalized covariant differentiation and axiom-based tensor analysis ⋮ Extension of covariant derivative (II): from flat space to curved space ⋮ Extension of covariant derivative (III): from classical gradient to shape gradient

Cites Work

• General mathematical frame for open or closed biomembranes. I: Equilibrium theory and geometrically constraint equation
• Equilibrium theory in 2D Riemann manifold for heterogeneous biomembranes with arbitrary variational modes
• Symmetrical fundamental tensors, differential operators, and integral theorems in differential geometry
• Unnamed Item

This page was built for publication: Extension of covariant derivative (I): from component form to objective form