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Saturday, May 16, 2020 | History

4 edition of Almost complex homogeneous spaces and their submanifolds found in the catalog.

Almost complex homogeneous spaces and their submanifolds

by Kichoon Yang

  • 306 Want to read
  • 10 Currently reading

Published by World Scientific in Singapore, Teaneck, NJ, USA .
Written in English

    Subjects:
  • Submanifolds.,
  • Homogeneous spaces.

  • Edition Notes

    StatementKichoon Yang.
    Classifications
    LC ClassificationsQA649 .Y26 1987
    The Physical Object
    Paginationx, 112 p. :
    Number of Pages112
    ID Numbers
    Open LibraryOL2405990M
    ISBN 109971503778
    LC Control Number87037134

    This is the book on a newly emerging field of discrete differential geometry. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. ( views) Principles of Differential Geometry by Taha Sochi - . Minimal Lagrangian submanifolds in the complex hyperbolic space Castro, Ildefonso, Montealegre, Cristina R., and Urbano, Francisco, Illinois Journal of Mathematics, ; Upper bounds for the dimension of tori acting on GKM manifolds KUROKI, Shintarô, Journal of the Mathematical Society of Japan, ; Classification of a family of Hamiltonian-stationary Lagrangian submanifolds in C$^{n Author: Toru Kajigaya.

    Fukaya categories and Picard-Lefschetz theory, by Paul Seidel, European Mathe-maticalSociety(EMS),Z¨urich,,vii+pp.,e46,ISBN manifolds admit Lagrangian embeddings in projective space, or the classification is anauxiliary choiceof (time-dependent) almost complex File Size: KB. This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, The Workshop was supported by the Research Institute of Real and Complex Manifolds (RIRCM) and the National Research Foundation of Korea (NRF).

    Parallel mean curvature surfaces in four-dimensional homogeneous spaces, in "Proceedings Book of International Workshop on Theory of Submanifolds'' (), R. Tojeiro and J. Van der Veken, Geometry of submanifolds with respect to ambient vector Harmonic maps into S^3 and almost complex surfaces in S^3 x S^3. , Nankai. Integral geometry in Riemannian homogeneous spaces holds. Next we shall consider the set L(R2) of all lines in element of L(R2) can be expressed by a pair (r,θ) of real numbers asl(r,θ) = {(x,y) ∈ R2 | xcosθ+ysinθ= r}. Then, (r,θ) provides a local coordinate and a differentiable manifold structure onL(R2).In fact L(R2) is diffeomorphic to the open M¨obius strip, therefore.


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Almost complex homogeneous spaces and their submanifolds by Kichoon Yang Download PDF EPUB FB2

Almost Complex Homogeneous Spaces And Their Submanifolds by K Yang (Author) ISBN Cited by: System Upgrade on Tue, May 19th, at 2am (ET) During this period, E-commerce and registration of new users may not be available for up to 12 hours. Almost complex homogeneous spaces and their submanifolds. [Kichoon Yang] -- This book is an introduction to the theory of almost complex homogeneous spaces and certain closely related class of spaces, so called partial G-flag manifolds.

Quick Search in Books. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Almost Complex Homogeneous Spaces and Their Submanifolds, pp. () No Access. Almost Complex Homogeneous Spaces and Their Submanifolds.

Metrics. Downloaded 9 times History. Loading Close Figure Viewer. Additional Physical Format: Online version: Yang, Kichoon. Almost complex homogeneous spaces and their submanifolds. Singapore ; Teaneck, NJ, USA: World Scientific.

Real submanifolds in complex space and their mappings M. Salah Baouendi, Peter Ebenfelt, Linda Preiss Rothschild This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students.

Real Submanifolds in Complex Space and Their Mappings (PMS) Book Description: This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students.

CR Submanifolds of Complex Projective Space. This book covers the necessary topics for learning the basic properties of complex manifolds and their submanifolds, offering an easy, friendly, and accessible introduction into the subject while aptly guiding the reader to topics of current research and to more advanced publications.

The book begins with an introduction to the geometry of complex manifolds and their submanifolds and describes the properties of hypersurfaces and CR submanifolds.

plete classi cation of almost complex homogeneous spaces Mwith semi-simple isotropy group Hof dim(M) 6. Previous work All homogeneous spaces with irreducible isotropy representation were classi ed by in [11]. A portion of this work is devoted to almost complex ho-mogeneous spaces.

Theorem. With respect to the usual almost complex structure, S6 has no ^-dimensional almost complex submanifolds. The proof, which is entirely local, is divided into several lemmas. The usual almost complex structure J on S6 can be defined either by means of the Cayley numbers [l], or by using the fact that 5s = G2/SU(3).

Geometry of Submanifolds and Homogeneous Spaces | Andreas Arvanitoyeorgos, George Kaimakamis | download | B–OK. Download books for free. Find books. An almost complex structureJand a Riemannian metricg, such thatJ2=−Iandg(JX,JY).

g(X,Y), forX,Y ∈X(M), whereIdenotes the identity map and X(M) is the space containing vector. fields tangent toM, then (M,J,g) is an almost Hermitian manifold. If the almost complex structure. Homogeneous submanifolds with parallel mean curvature vector Chapter Ka¨hler submanifolds of Ka¨hler manifolds Basic properties of Ka¨hler submanifolds.

Complex space forms and Chern classes Ka¨hler immersions of complex space forms in complex spaceCited by: 3. Abstract. The final objective of this article is to study the space of increasing n-tuples of self-adjoint idempotents in a C*-algebra—which is called a flag manifold—from a differential geometric point of is proved that a flag manifold has a natural intrinsic complex by: Almost complex submanifolds of a NK manifold are submanifolds whose tangent spaces are invariant under the action of J.

For 6-dimensional strict NK manifolds, by a result of Podestà and Spiro, an almost complex submanifold must have dimension two. In recent years, people are becoming interested in the homogeneous NK S 3 × S 3.

Indeed, Bolton Cited by: Complex analytic submanifolds and totally real submanifolds are two typical classes among all submanifolds of an almost Hermitian mani­fold. In this paper, some characterizations of totally real.

QUANTUM COHOMOLOGY OF TWISTOR SPACES AND THEIR LAGRANGIAN SUBMANIFOLDS JONATHAN DAVID EVANS Abstract. We compute the classical and quantum cohomology rings of the twistor spaces of 6-dimensional hyperbolic manifolds and the eigen-values of quantum multiplication by the first Chern class.

Given a half-Author: Jonathan David Evans. Real Submanifolds in Complex Space and Their Mappings (PMS) The book also devotes considerable attention to the study of holomorphic mappings between real submanifolds, and proves finite determination of such mappings by their jets under some optimal assumptions.

The authors also give a thorough comparison of the various nondegeneracy. Dear Colleagues, The present Special Issue of Symmetry is devoted into two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces.

Submanifold theory originated from the classical geometry of curves and surfaces. Homogeneous spaces are manifolds that admit a transitive Lie group action, historically related to F.

Homogeneous polar foliations of complex hyperbolic spaces (with José Carlos Díaz-Ramos), Comm. Anal. Geom. 20 (), Hyperpolar homogeneous foliations on symmetric spaces of noncompact type (with José Carlos Díaz-Ramos and Hiroshi Tamaru), J. On invariant almost complex and complex structures on homogeneous spaces In [ 15, we studied cobordism classes of compact homogeneous spaces G / H of positive Euler characteristic related to the stable complex structures which are equivariant under the natural action of the maximal torus T for H and by: 1.1.

Complex and Almost-Complex Manifolds Definition. A complex structure on a real vector space V is a linear endomor-phism J of V such that J2 = −1, where 1 is the identity transformation of V. • A real vector space with a complex structure can be given the structure of a complex vector space.

We define scalar multiplication by complex File Size: KB. The Chern-Moser-Tanaka invariant on pseudo-Hermitian almost CR manifolds.- Bott Periodicity, Submanifolds, and Vector Bundles.- The solvable models of noncompact real two-plane Grassmannians and some applications.- Biharmonic homogeneous submanifolds in compact symmetric spaces.- Recent results on real Hypersurfaces in Complex quadrics.

show moreAuthor: Young Jin Suh.