Log in

Relevant bibliographies by topics / Global submanifolds

Contents

Journal articles

Academic literature on the topic 'Global submanifolds'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Global submanifolds.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Global submanifolds"

1

YANG, GUO-HONG, SHI-XIANG FENG, GUANG-JIONG NI, and YI-SHI DUAN. "RELATIONS OF TWO TRANSVERSAL SUBMANIFOLDS AND GLOBAL MANIFOLD." International Journal of Modern Physics A 16, no. 21 (2001): 3535–51. http://dx.doi.org/10.1142/s0217751x01005080.

Full text

Abstract:

In 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 of the two submanifolds. When the inner product of the two tangent vectors of submanifolds vanishes, some corollaries of these relations give the most important second fundamental form and Gauss–Codazzi equation in the conventional submanifold theory. As a special case, the global manifold which is Euclidean is considered. It is pointed out that, in order to obtain the nonzero energy–momentum tensor of matter field in a submanifold, there must be the contributions of the above inner product and the other submanifold. Generally speaking, a submanifold is closely related to the matter fields of the other submanifold and the two submanifolds affect each other through the above inner product.

APA, Harvard, Vancouver, ISO, and other styles

2

Mondino, Andrea, and Huy T. Nguyen. "Global Conformal Invariants of Submanifolds." Annales de l'Institut Fourier 68, no. 6 (2018): 2663–95. http://dx.doi.org/10.5802/aif.3220.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Merkulov, Sergey A. "Moduli spaces of compact complex submanifolds of complex fibered manifolds." Mathematical Proceedings of the Cambridge Philosophical Society 118, no. 1 (1995): 71–91. http://dx.doi.org/10.1017/s0305004100073473.

Full text

Abstract:

In 1962 Kodaira[11] proved that ifX ↪ Y is a compact complex submanifold with normal bundle N such that H1(X, N) = 0, then X belongs to a locally complete family {Xt: t ∈ M} of complex submanifolds Xt of Y with the moduli space M being a (dimcH0(X, N))-dimensional complex manifold, and there exists a canonical isomorphismbetween the tangent space of M at a point t ∈ M and the space of all global sections of the normal bundle Nt of the embedding Xt ↪ Y.

APA, Harvard, Vancouver, ISO, and other styles

4

Dajczer, Marcos, and Lucio Rodríguez. "Substantial Codimension of Submanifolds: Global Results." Bulletin of the London Mathematical Society 19, no. 5 (1987): 467–73. http://dx.doi.org/10.1112/blms/19.5.467.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Cai, Kairen. "Global pinching theorems of submanifolds in spheres." International Journal of Mathematics and Mathematical Sciences 31, no. 3 (2002): 183–91. http://dx.doi.org/10.1155/s0161171202106247.

Full text

Abstract:

LetMbe a compact embedded submanifold with parallel mean curvature vector and positive Ricci curvature in the unit sphereS n+p(n≥2 ,p≥1). By using the Sobolev inequalities of P. Li (1980) toLpestimate for the square lengthσof the second fundamental form and the norm of a tensorΦ, related to the second fundamental form, we set up some rigidity theorems. Denote by‖σ‖ptheLpnorm ofσandHthe constant mean curvature ofM. It is shown that there is a constantCdepending only onn,H, andkwhere(n−1) kis the lower bound of Ricci curvature such that if‖σ‖ n/2<C, thenMis a totally umbilic hypersurface in the sphereS n+1.

APA, Harvard, Vancouver, ISO, and other styles

6

Cai, Kairen. "Global pinching theorems for minimal submanifolds in spheres." Colloquium Mathematicum 96, no. 2 (2003): 225–34. http://dx.doi.org/10.4064/cm96-2-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

SARDANASHVILY, G. "SUPERINTEGRABLE HAMILTONIAN SYSTEMS WITH NONCOMPACT INVARIANT SUBMANIFOLDS: KEPLER SYSTEM." International Journal of Geometric Methods in Modern Physics 06, no. 08 (2009): 1391–414. http://dx.doi.org/10.1142/s0219887809004260.

Full text

Abstract:

The Mishchenko–Fomenko theorem on superintegrable Hamiltonian systems is generalized to superintegrable Hamiltonian systems with noncompact invariant submanifolds. It is formulated in the case of globally superintegrable Hamiltonian systems which admit global generalized action-angle coordinates. The well known Kepler system falls into two different globally superintegrable systems with compact and noncompact invariant submanifolds.

APA, Harvard, Vancouver, ISO, and other styles

8

DAJCZER, MARCOS, and RUY TOJEIRO. "AN EXTENSION OF THE CLASSICAL RIBAUCOUR TRANSFORMATION." Proceedings of the London Mathematical Society 85, no. 1 (2002): 211–32. http://dx.doi.org/10.1112/s0024611502013552.

Full text

Abstract:

We extend the notion of Ribaucour transformation from classical surface theory to the theory of holonomic submanifolds of pseudo-Riemannian space forms with arbitrary dimension and codimension, that is, submanifolds with flat normal bundle admitting a global system of principal coordinates. Bianchi gave a positive answer to the question of whether among the Ribaucour transforms of a surface with constant mean or Gaussian curvature there exist other surfaces with the same property. Our main achievement is to solve the same problem for the class of holonomic submanifolds with constant sectional curvature. 2000 Mathematical Subject Classification: 53B25, 58J72.

APA, Harvard, Vancouver, ISO, and other styles

9

Forstneric, Franc, and Erik Low. "Global holomorphic equivalence of smooth submanifolds in C^n." Indiana University Mathematics Journal 46, no. 1 (1997): 0. http://dx.doi.org/10.1512/iumj.1997.46.1348.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

González-Dávila, J. C., M. C. González-Dávila, and L. Vanhecke. "Invariant submanifolds in flow geometry." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 62, no. 3 (1997): 290–314. http://dx.doi.org/10.1017/s1446788700001026.

Full text

Abstract:

AbstractWe begin a study of invariant isometric immersions into Riemannian manifolds (M, g) equipped with a Riemannian flow generated by a unit Killing vector field ξ. We focus our attention on those (M, g) where ξ is complete and such that the reflections with respect to the flow lines are global isometries (that is, (M, g) is a Killing-transversally symmetric space) and on the subclass of normal flow space forms. General results are derived and several examples are provided.

APA, Harvard, Vancouver, ISO, and other styles

More sources

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!