Results 121 to 130 of about 20,212 (153)
Topology-preserving Hodge decomposition in the Eulerian representation. [PDF]
Beijing J Pure Appl MathSu Z, Tong Y, Wei GW.
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Global Rigidity Theorems for Submanifolds with Parallel Mean Curvature
Acta Mathematica Scientia, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pan, Pengfei, Xu, Hongwei, Zhao, Entao
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Substantial Codimension of Submanifolds: Global Results
Bulletin of the London Mathematical Society, 1987This is an extension of work of the second author and \textit{R. Tribuzy} [Math. Z. 185, 321-331 (1984; Zbl 0524.53038)] to the case of varying dimension of the first normal space. The formulation of the results and the method of proof are based on the notion of relative nullity.
Dajczer, Marcos, Rodríguez, Lucio
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RELATIONS OF TWO TRANSVERSAL SUBMANIFOLDS AND GLOBAL MANIFOLD
International Journal of Modern Physics A, 2001In Riemann geometry, the relations of two transversal submanifolds and global manifold are discussed without any concrete models. By replacing the normal vector of a submanifold with the tangent vector of another submanifold, the metric tensors, Christoffel symbols and curvature tensors of the three manifolds are connected at the intersection points ...
Yang, Guohong +3 more
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Global holomorphic equivalence of smooth submanifolds in C^n
Indiana University Mathematics Journal, 1997Let M be a smooth compact manifold and n ≥ 2. Given a smooth isotopy of embeddings ft:M ↪→ C (0 ≤ t ≤ 1) such that ft(M) ⊂ C is a totally real and polynomially convex submanifold of C for each fixed t, we construct a sequence Φj of holomorphic automorphisms of C such that Φj ◦ f0 converges to f1 and Φ −1 j ◦ f1 converges to f0 in C ∞(M) as j → ∞.
Franc Forstneric, Erik Low
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A local and global splitting result for real K�hler Euclidean submanifolds
Archiv der Mathematik, 2005The authors investigate the structure of real Kähler Euclidean submanifolds, that is, isometric immersions \(f\) of a Kähler manifold \(M^{2n}\) into \({\mathbb R}^{2n+p}\). Such an immersion is called pluriharmonic if every holomorphic curve in \(M\) is mapped by \(f\) onto a minimal surface in \({\mathbb R}^{2n+p}\).
Florit, Luis A., Zheng, Fangyang
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Journal of Mathematical Sciences, 2006
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BETTIOL P., CARDIN, FRANCO
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BETTIOL P., CARDIN, FRANCO
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Rendiconti del Circolo Matematico di Palermo, 1995
In this nice paper, the following differential (scalar) equation is considered: \[ u'=a(t)f(u)+b(t)g(u),\tag{1} \] where \(a:\mathbb{R}\to\mathbb{R}_+\) and \(b,f,g:\mathbb{R}_+\to\mathbb{R}_+=[0,\infty)\) are continuous functions satisfying the conditions: (i) \(f(u)>0\) for \(u>0\) and \(\int^\infty du/f(u)=\infty\), (ii) there exists a \(T\geq 0 ...
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In this nice paper, the following differential (scalar) equation is considered: \[ u'=a(t)f(u)+b(t)g(u),\tag{1} \] where \(a:\mathbb{R}\to\mathbb{R}_+\) and \(b,f,g:\mathbb{R}_+\to\mathbb{R}_+=[0,\infty)\) are continuous functions satisfying the conditions: (i) \(f(u)>0\) for \(u>0\) and \(\int^\infty du/f(u)=\infty\), (ii) there exists a \(T\geq 0 ...
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Global pinching theorems for minimal submanifolds in a complex projective space
Asian Journal of Mathematics, 2021Dong Pu, Hongwei Xu
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