共查询到20条相似文献,搜索用时 187 毫秒
1.
Jiancheng Liu 《Geometriae Dedicata》2007,129(1):35-45
We prove firstly the classification theorem for p-harmonic morphisms between Euclidean domains. Secondly, we show that if is a p-harmonic morphism (p ≥ 2) from a complete Riemannian manifold M of nonnegative Ricci curvature into a Riemannian manifold N of non-positive scalar curvature such that the L
q
-energy is finite, then is constant, which improve the corresponding result due to G. Choi, G. Yun in (Geometriae Dedicata 101 (2003), 53–59).
相似文献
2.
Let ε:y2 =x3 + Ax + B be an elliptic curve defined over the finite field Zp(p > 3)and G be a rational point of prime order N on ε.Define a subset of ZN,the residue class ring modulo N,as S ∶={n ∶n ∈ZN,... 相似文献
3.
Sharief Deshmukh 《Monatshefte für Mathematik》2012,121(2):93-106
In this paper, we show that an n-dimensional connected non-compact Ricci soliton isometrically immersed in the flat complex space form
){(C^{\frac{n+1}{2}},J,\left\langle ,\right\rangle )}, with potential vector field of the Ricci soliton is the characteristic vector field of the real hypersurface is an Einstein
manifold. We classify connected Hopf hypersurfaces in the flat complex space form
(C
á
ñ\fracn+12,J,
á ,
ñ ){(C^{\frac{n+1}{2}},J,\left\langle ,\right\rangle )} and also obtain a characterization for the Hopf hypersurfaces in
(C\fracn+12,J,
á ,
ñ ) {(C^{\frac{n+1}{2}},J,\left\langle ,\right\rangle ) }. 相似文献
4.
Let (M, g) be a compact Riemannian manifold of dimension n ≥ 2 and 1 < p ≤ 2. In this work we prove the validity of the optimal Gagliardo–Nirenberg inequality
for a family of parameters r, q and θ. Our proof relies strongly on a new distance lemma which holds for 1 < p ≤ 2. In particular, we obtain Riemannian versions of L
p
-Euclidean Gagliardo–Nirenberg inequalities of Del Pino and Dolbeault (J Funct Anal 197:151–161, 2003) and extend the optimal
L
2-Riemannian Gagliardo–Nirenberg inequality of Brouttelande (Proc R Soc Edinb 46:147–157, 2003) in a unified framework. 相似文献
5.
Manuel del Pino Michal Kowalczyk Juncheng Wei Jun Yang 《Geometric And Functional Analysis》2010,20(4):918-957
Let (M,[(g)\tilde]){(\mathcal {M},\tilde{g})} be an N-dimensional smooth compact Riemannian manifold. We consider the singularly perturbed Allen–Cahn equation
e2 D[(g)\tilde] u + (1 - u2 )u = 0 in M,\varepsilon ^2 \Delta _{\tilde g} u \, + \, (1 - u^2 )u\, =\, 0 \quad {\rm{in}} \, \mathcal {M}, 相似文献
6.
Let μ be a measure with compact support, with orthonormal polynomials {p
n
} and associated reproducing kernels {K
n
}. We show that bulk universality holds in measure in {ξ: μ′(ξ) > 0}. More precisely, given ɛ, r > 0, the linear Lebesgue measure of the set {ξ: μ′(ξ) > 0} and for which
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