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991.
F. Loose 《Journal of Geometric Analysis》2000,10(2):323-337
Let (X, ω) be a symplectic manifold and ι: M ? X an isotropic embedding, ι*ω = 0. The isotropie embedding theorem gives a local normal form of X in a neighborhood of M, in particular a natural potential α of ω, ?dα = ω. Now, given certain geometrical structures on M and on the symplectic normal bundle of M, in particular inducing a natural energy momentum function H in a neighborhood of M, we construct a natural complex structure J in a neighborhood of M satisfying certain initial conditions associated to the given initial data along M and satisfying the equation (in J): dc H = α. This generalizes a theorem of Guillemin-Stenzel and Lempert-Szöke in the Lagrangean case. 相似文献
992.
Stefano Trapani 《Journal of Geometric Analysis》2000,10(4):739-758
Let S be a generic submanifold of
C
N
of real codimension m. In this paper we continue the study, carried over by various authors, of the set of analytic discs
attached to S. Moreover, we look at the subspaces of
C
N
obtained by evaluating at given points, holomorphic maps which are infinitesimal deformations of analytic discs attached to
S. 相似文献
993.
Dominique Hulin 《Journal of Geometric Analysis》2000,10(3):525-528
We prove that the complex projective space equipped with its Fubini-Study metric admits no compact Kähler-Einstein submanifold with nonpositive Einstein constant. In particular, the Calabi-Yau metrics carried by an algebraic K3 surface cannot be realized by projective embeddings. 相似文献
994.
Clément Le Goff Philippe Ben-Abdallah Gilberto Domingues Ahmed Ould El Moctar 《Journal of nanoparticle research》2008,10(7):1115-1120
The thermal conductivity of nanoparticles colloidal suspensions, submitted to the action of an external force field has been
calculated by nonequilibrium molecular dynamics simulations. For driven forces in the radio frequency and microwave ranges,
we show that the thermal conductivity of nanofluids can be strongly enhanced without cluster formation. 相似文献
995.
Molecular dynamics simulations were used to determine the melting points of anatase and rutile nanoparticles. The melting
points decrease with decrease in particle diameter and are in reasonable agreement with the empirical formula derived by Buffat
and Borel. The phenomenological model of Koch and Friedlander is unable to predict the temperature rise during initial stages
of sintering with acceptable accuracy. It is argued that the Koch and Friedlander assumption of linear surface reduction rate
upon sintering may be inadequate for the time scales under consideration. A theoretical model using direct area measurement
from molecular dynamics simulations and a single adjustable parameter is able to predict temperature rise during initial stages
of sintering within acceptable error limits. 相似文献
996.
Zindine?DjadliEmail author Andrea?Malchiodi Ould?Ahmedou 《Journal of Geometric Analysis》2003,13(2):255-289
We consider the problem of prescribing the scalar curvature and the boundary mean curvature of the standard half-three sphere,
by deforming conformally its standard metric. Using blow-up analysis techniques and minimax arguments, we prove some existence
and compactness results. 相似文献
997.
Pei-Yong Wang 《Journal of Geometric Analysis》2003,13(4):715-738
In this article, we have established existence of a solution to the 2 -phase free boundary problem for some fully nonlinear
elliptic equations and also shown the free boundary has finite Hn−1 Hausdorff measure and a normal in a measuretheoretic sense Hn−1 almost everywhere. The regularity theory developed in [9] and [10] for this free boundary problem then leads to the fact
that the free boundary is locally a C1,α surface near Hn−1-a.e. point. 相似文献
998.
Bruno?FranchiEmail author Raul?Serapioni Francesco?Serra?Cassano 《Journal of Geometric Analysis》2003,13(3):421-466
In this article we study codimension 1 rectifiable sets in Carnot groups and we extend classical De Giorgi ’s rectifiability
and divergence theorems to the setting of step 2 groups. Related problems in higher step Carnot groups are discussed, pointing
on new phenomena related to the blow up procedure.
First author was supported by University of Bologna, Italy, funds for selected research topics; second and third authors were
supported by MURST, Italy, and University of Trento, Italy. 相似文献
999.
Theorems of Wiman and Arima about entire holomorphic functions of a complex variable are generalized to the case of n—subharmonic
functions on spherical n-dimensional cones. 相似文献
1000.
The purpose of this paper is to give a historical survey of the development of methods in the theory of partial differential
equations for the study of the Levi and Cousin problems in complex analysis. Success was achieved by the mid 1960's but we
begin further back, with the background in Hodge theory and with early unsuccessful attempts to exploit the Bergman kernel.
Some examples of later date illustrating the usefulness of such methods are also given.
Dedicated to the memory of D.C. Spencer 相似文献