sekinanlogoshome
sekinanlogoshome Complex Manifold Deformation Theory
Conjecture A
Time of Word
TANAKA Akio
TANAKA Akio
Conjecture
Word has time.
[View¶]
¶Mathematics is a view in which I freely appreciate objects as if I see flowers, mountains and
vigorous port towns at dawn.
1
Kähler manifold X
Kähler form w
A certain constant c
Cohomology class of w 2πc1(X)
c1(X)>0
Kähler metric g
Real C∞ function f
∫X (ef- 1)wn = 0
Ric(w) -w = 
f
f
2
Monge-Ampère equation
(Equation 1)
Use continuity method
(Equation 1-2)
Kähler form w' = w + 
f
f
Ric(w') = tw' + (1-t)w'
δ>0
I = {
}
}
3
is differential over t.
is differential over t.
Ding's functional Fw
4
(Lemma)
There exists constant that is unrelated with t.
When utis the solution of equation 1-2, the next is satisfied.
Fw(ut)
C
C
5
Proper of Ding's functional is defined by the next.
Arbitrary constant K
Point sequence of arbitrary P(X, w)K {ui}
(Theorem)
When Fw is proper, there exists Kähler-Einstein metric.
[Impression¶]
¶ Impression is developed from the view.
1
If word is expressed by u , language is expressed by Fw and comprehension of human being
is expressed by C, what language is totally comprehended by human being is guaranteed.
Refere to the next paper.
#Guarantee of Language
Guarantee of Language
2
If language is expressed by being properly generated, distance of language is expressed by
Kähler-Einstein metric and time of language is expressed by t, all the situation of language is
basically expressed by (Equation1-2).
Refer to the next paper.
#Distance Theory
Distance Theory
3
If inherent time of word is expressed by t's [δ, 1], dynamism of meaning minimum is
mathematically formulated by Monge-Ampère equation.
Refer to the next papers.
#1<For inherent time>
On Time Property Inherent in Characters
On Time Property Inherent in Characters
#2<For meaningminimum>
From Cell to Manifold
From Cell to Manifold
#3<For meaning minimum's finiteness>
Amplitude of Meaning Minimum
Amplitude of Meaning Minimum
Tokyo January 1, 2009
Sekinan Research Field of language
Sekinan Research Field of language
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