Sekinan Table: Complex Manifold Deformation Theory Conjecture B 2 Understandability of Language 2008 Zoho Writer Edition

Wednesday 9 January 2019

Complex Manifold Deformation Theory Conjecture B 2 Understandability of Language 2008 Zoho Writer Edition

Complex Manifold Deformation Theory

Conjecture B

2 Understandability of Language

Conjecture

Language is understandable.

[View]
0
(Eells-Sampson Theorem)
Compact Riemannian manifolds (M, g), (N, h)
Section curvature of (N, h) everywhere non-positive
Arbitrary C∞ map f : M → N
Equation

Solution of the equation exists at

.
When there exists

is convergent to harmonic map

and

is free homotopic with

.
1
(Harmonic map)

Arbitrary variation of

{

}

2
(Section of

)

3
(Levi-Civita connection)
Levi-Civita connection of (M, g) and (N, h)

[Impression]
1
From Eells-Sampson Theorem, if language is supposed to be expressed by the equation and word is supposed to be expressed by

, language is understandable in finite time.The situation contributes guarantee of language.
2
In infinite time, Language still can be understood by word's generation system