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For a Calabi-Yau manifold X the following proposition shows that if X admits a ‘special’ K¨ahler form in the sense that the top power of any harmonic (1, 1)-form is harmonic, then X
As Ω in Lemma 3.1 becomes large, we can have a considerable but finite number of fundamental solutions belonging to different classes that satisfy the bounds.. We will see that
In the previous work [1], the author showed a new kind of convolution product called the B-product defined as follows.. product and has a nonempty intersection with the ψ-product
It follows from the above discussion that in this paper the problem of elastic equilibrium of an infinite layer is generalized (despite special type homogeneous boundary
Note that from Propositions 11 and 12 it follows that if q is a perfect Leibniz algebra, then the second Leibniz homology K -spaces with trivial coefficients of the stem extension of
Proof: Since over a regular ring every submodule (of any module) is pure (Lemma 3), the result follows from Theorem 4.. As a final application we give a variation of a result due
Now since q preserves limits as well as colimits (by Proposition 2.4), it follows from Theorem 2.2 that the equifier subcategory inside the category of coalgebras is a
The graph is constructed as follows: (1) The graph is initialized with one node that corresponds to the initial brick; (2) each time a brick is deposited, a node is added to the
