Search Results - "Li, Xingxiao"
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Variational characterizations of ξ-submanifolds in the Eulicdean space Rm+p
Published in Annali di matematica pura ed applicata (2020)“…ξ -submanifold in the Euclidean space R m + p is a natural extension of the concept of self-shrinker to the mean curvature flow in R m + p . It is also a…”
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The blow-up of the conformal mean curvature flow
Published in Science China. Mathematics (01-04-2020)“…In this paper, we introduce and study the conformal mean curvature flow of submanifolds of higher codimension in the Euclidean space ℝ n . This kind of flow is…”
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Rigidity of Einstein Metrics as Critical Points of Some Quadratic Curvature Functionals on Complete Manifolds
Published in The Journal of geometric analysis (01-08-2021)“…In this paper, we consider some rigidity results for the Einstein metrics as the critical points of some known quadratic curvature functionals on complete…”
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A Characterization of the Standard Tori in ℂ2 as Compact Lagrangian ξ-Submanifolds
Published in Chinese annals of mathematics. Serie B (2022)“…In this paper, the authors give a characterization theorem for the standard tori S 1 ( a ) × S 1 ( b ) , a , b > 0, as the compact Lagrangian ξ -submanifolds…”
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A uniqueness theorem of complete Lagrangian translator in C2
Published in Manuscripta mathematica (2021)“…In this paper we study the complete Lagrangian translators in the complex 2-plane C 2 . As the result, we obtain a uniqueness theorem showing that the plane is…”
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Classification Theorems of Complete Space-Like Lagrangian ξ-Surfaces in the Pseudo-Euclidean Space R24
Published in Boletim da Sociedade Brasileira de Matemática (2021)“…ξ -submanifolds and ξ -translators are, respectively, the natural generalizations of self-shrinkers and translators of the mean curvature flow and, in the case…”
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A complete classification of Blaschke parallel submanifolds with vanishing Möbius form
Published in Science China. Mathematics (01-07-2017)“…The Blaschke tensor and the Möbius form are two of the fundamental invariants in the Möbius geometry of submanifolds; an umbilic-free immersed submanifold in…”
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On the complete solutions to the Tchebychev affine Kähler equation and its geometric significance
Published in Journal of mathematical analysis and applications (15-10-2022)“…In this paper we study the Tchebychev affine Kähler equation (simply, TAKE) which consists of a number of fourth-order nonlinear equations and is closely…”
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Estimates on eigenvalues for the biharmonic operator on a bounded domain in Hn(−1)
Published in Acta mathematica scientia (01-07-2011)“…O175.29; In this paper,we consider eigenvalues of the Dirichlet biharmonic operator on a bounded domain in a hyperbolic space.We obtain universal bounds on the…”
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Estimates on eigenvalues for the biharmonic operator on a bounded domain in H n (−1)
Published in Acta mathematica scientia (01-07-2011)“…In this paper, we consider eigenvalues of the Dirichlet biharmonic operator on a bounded domain in a hyperbolic space. We obtain universal bounds on the ( k +…”
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Extrinsic estimates for the eigenvalues of Schrödinger operator
Published in Geometriae dedicata (01-12-2009)“…We consider the eigenvalues of Schrödinger operator with weight on compact Riemannian manifolds with boundary (possibly empty) and prove two types of general…”
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On the Blaschke isoparametric hypersurfaces in the unit sphere with three distinct Blaschke eigenvalues
Published in Science China. Mathematics (01-10-2011)“…An immersed umbilic-free submanifold in the unit sphere is called Blaschke isoparametric if its Möbius form vanishes identically and all of its Blaschke…”
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Variational characterizations of $$\xi $$-submanifolds in the Eulicdean space $${{\mathbb {R}}}^{m+p}
Published in Annali di matematica pura ed applicata (01-08-2020)Get full text
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On the Lagrangian Angle and the Kähler Angle of Immersed Surfaces in the Complex Plane ℂ2
Published in Acta mathematica scientia (01-11-2019)“…In this paper, we discuss the Lagrangian angle and the Kähler angle of immersed surfaces in ℂ 2 . Firstly, we provide an extension of Lagrangian angle, Maslov…”
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Equiaffine Isoparametric Functions and Their Regular Level Hypersurfaces
Published in Resultate der Mathematik (01-12-2019)“…In this paper, we aim to introduce and study the (locally strongly convex) equiaffine isoparametric functions on the affine space A n + 1 , making the emphasis…”
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Solutions with isolated point ruptures for a semilinear elliptic equation in R2 with a non-Lipschitz nonlinearity
Published in Applied mathematics letters (01-05-2004)Get full text
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Rigidity of Riemannian manifolds with vanishing generalized Bach tensor
Published in Journal of geometry and physics (01-12-2021)“…A generalized Bach tensor Bijt with parameter t∈R is introduced. A Riemannian manifold (Mn,g) is called Bt-flat if its generalised Bach tensor Bijt≡0 for some…”
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Quaternary Phosphonium Modified Hierarchically Macro/Mesoporous Silica for Fast Removal of Perrhenate
Published in Industrial & engineering chemistry research (10-10-2018)“…A new quaternary phosphonium modified hierarchically macro/mesoporous silica (named HPS-P) was prepared by a sol–gel method accompanied by phase separation by…”
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On the Complete 2-Dimensional λ-Translators with a Second Fundamental form of Constant Length
Published in Acta mathematica scientia (01-11-2020)“…In this article we study the two-dimensional complete λ -translators immersed in the Euclidean space ℝ 3 and Minkovski space ℝ 1 3 . We obtain two…”
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