Global holomorphic equivalence of smooth submanifolds in C^n [PDF]
Indiana University Mathematics Journal, 1997 Let 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 Forstnerič, Erik Løw
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Singularities of equidistants and global centre symmetry sets of Lagrangian submanifolds [PDF]
Geometriae Dedicata, 2013 26 pages, 2 ...
Wojciech Domitrz, Pedro de M. Rios
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Global properties of codimension two spacelike submanifolds in Minkowski space [PDF]
advg, 2009 Abstract We consider codimension two spacelike submanifolds with a parallel normal field (i.e. vanishing normal curvature) in Minkowski space. We use the analysis of their contacts with hyperplanes and hyperquadrics in order to get some global information on them.
Shyūichi Izumiya +2 more
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Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds [PDF]
Journal of Mathematical Physics, 2007 The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied. We extend this analysis to the case of noncompact invariant submanifolds.
Emanuele Fiorani, G. Sardanashvily
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The relations among two transversal submanifolds and global manifold [PDF]
, 1999 In Riemann geometry, the relations among two transversal submanifolds and global manifold are discussed. 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 linked together.
Guo-Hong Yang +2 more
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Global existence of submanifolds of solutions of nonlinear second order differential systems [PDF]
Differential and Integral Equations, 1995 Let \(G= G(u,p)\) be a \(C^ 1(\mathbb{R}^ n\times \mathbb{R}^ n)\) function, strictly convex with respect to \(p\) for every \(u\) and \(G(u, 0)= 0\), \(G_ p(u, 0)= 0\). Moreover, let \(F= F(t, u)\) be of class \(C^ 1(\mathbb{R}^ n\times \mathbb{R}^ n)\) and \(Q= Q(t,u,p)\) be continuous on \(\mathbb{R}_+\times \mathbb{R}^ n\times \mathbb{R}^ n\) with ...
Giancarlo Cantarelli
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Warped product contact CR-submanifolds of globally framed f-manifolds with Lorentz metric [PDF]
, 2012 In the present paper, we study globally framed f-manifolds in the particular setting of indefinite S-manifolds for both spacelike and timelike cases. We prove that if $M = N^{\perp} \times_f N^T$ is a warped CR-submanifold such that $N^{\perp}$ is $ $?-anti-invariant and NT is $ $?-invariant, then M is a CR-product.
Khushwant Singh, S. S. Bhatia
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Global pinching theorems for even dimensional minimal submanifolds in the unit spheres
Mathematische Zeitschrift, 1989 The following global pinching theorem for minimal submanifolds is proved: Let \(M^{2n}\) be a minimal submanifold in the unit sphere with Euler characteristic less than or equal to two, then there exists a universal constant \(c(n)>0\), such that if \(\int_{M}S ...
Lin Jun-min, Changyu Xia
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Zhejiang Daxue xuebao. Lixue ban, 2000 本文利用对复射影空间中紧致极小子流形的第二基本形式长度平方进行积分形式的估计方法，证明了复射影空间中紧致复子流形和紧致全实极小子流形的整体Pinching定理。
WANGYi-ling(王一令)
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Global differential geometry of submanifolds in $E\sb n$ and $S\sb n$ [PDF]
Czechoslovak Mathematical Journal, 1967 Leo Boček
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