Last edited by Muramar
Thursday, July 16, 2020 | History

11 edition of Complex, Contact and Symmetric Manifolds found in the catalog.

Complex, Contact and Symmetric Manifolds

In Honor of L. Vanhecke (Progress in Mathematics)

  • 69 Want to read
  • 20 Currently reading

Published by Birkhäuser Boston .
Written in English

    Subjects:
  • Algebraic geometry,
  • Science/Mathematics,
  • Group Theory,
  • Geometry - Differential,
  • Mathematics,
  • Riemannian manifolds,
  • Manifolds (Mathematics),
  • Mathematical Analysis,
  • Mathematics / Geometry / General,
  • Differential topology,
  • Geometry - General,
  • Geometry, Differential

  • Edition Notes

    ContributionsOldrich Kowalski (Editor), Emilio Musso (Editor), Domenico Perrone (Editor)
    The Physical Object
    FormatHardcover
    Number of Pages277
    ID Numbers
    Open LibraryOL8074550M
    ISBN 100817638504
    ISBN 109780817638504

    In [], D.E. Blair and the first author in this work, proved that a locally symmetric normal complex contact metric manifold is locally isometric to the complex projective space C P 2 n + 1 (4) of constant holomorphic curvature also studied reflections in the integral submanifolds of the vertical subbundle of a normal complex contact manifold and showed that when such reflections are. hypersurface in indefinite complex contact space forms. 2. PRELIMINARIES A complex contact manifold is a complex manifold, M, of odd complex di-mension (2n+ 1) together with an open covering {Oi} by coordinate neigh-bourhoods such that: (1) On each .

    Definition [3] A linear connection V' on an almost complex manifold with Norden metric {M, J, g) is said to be natural if Vj = Vg = {^Vg = Vg = 0). () Lemma Let {M, J,g) be an almost complex manifold with Norden metric and let V' be an arbitrary almost complex connection defined by V\). The ut are called the (local) contact forms of the structure. A complex contact manifold, is a complex manifold together with a complex contact structure. S. Kobayashi [5] has given a line bundle formulation of complex contact structure. Let {(£/,-, ov)} be a complex contact .

    Geometry of CR-manifolds of contact type Geometry of CR-manifolds of contact type Riemannian manifold is K-contact if and only if h = 0 For a contact Riemannian manifold M, one may deflne naturally an almost complex structure J on M £Rby J(X;f d dt) = . aims were cohomology of Kahler manifolds, formality of Kahler manifolds af-ter [DGMS], Calabi conjecture and some of its consequences, Gromov’s Kahler hyperbolicity [Gr], and the Kodaira embedding theorem. Let Mbe a complex manifold. A Riemannian metric on Mis called Her-mitian if it is compatible with the complex structure Jof M, hJX,JYi= hX,Yi.


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Complex, Contact and Symmetric Manifolds Download PDF EPUB FB2

About this book Introduction The papers, all written with the necessary introductory and contextual material, describe recent developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, homogeneous and symmetric spaces, and various.

Download the eBook Complex, Contact and Symmetric Manifolds - O. Kowalski in PDF or EPUB format and read it directly on your mobile phone, computer or any device.

The papers, all written with the necessary introductory and contextual material, describe recent developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, homogeneous and symmetric spaces, and various applications of partial differential.

Title: Complex Contact And Symmetric Manifolds, Author: Bari Capan, Name: Complex Contact And Symmetric Manifolds, Length: 2 pages, Page: 1, Published: Issuu company logo Issuu.

Tanno, Locally symmetric K-contact Riemannian manifolds, Proc. Japan Acad. 43 (), – zbMATH CrossRef MathSciNet Google Scholar [44] S. Tanno, Sasakian manifolds with constant ϕ -holomorphic sectional curvature, Tôhoku Math. 21 (), Cited by: 6. We have shown that there is no IK-normal Complex contact metric manifold with constant sectional curvature and an IK- normal complex contact metric manifold is not Ricci semi-symmetric.

View 3. Considering the (4n+3)-dimensional manifolds as underlying manifolds of almost contact 3-structures lead us to have just almost contact 3-structure and 3-Sasakian manifold [1, 5]. This terminology. Title: Complex Homogeneous Contact Manifolds and Quaternionic Symmetric Spaces Author: Joseph Wolf Created Date: 3/17/ PM.

We study and classify a large class of minimal orbits in complex flag manifolds for the holomorphic action of a real Lie group. These orbits are all symmetric CR spaces for the restriction of a suitable class of Hermitian invariant metrics on the ambient flag manifold.

As a particular case we obtain that the standard compact homogeneous CR manifolds associated with semisimple Levi–Tanaka. In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic concept was first studied by Jan Arnoldus Schouten and David van Dantzig inand then introduced by Erich Kähler in The terminology has been fixed by André Weil.

* Preface * Acknowledgments * Authors' Addresses * List of Participants * D.E. Blair: Curvature of Contact Metric Manifolds * E. Boeckx: A case for curvature: the unit tangent bundle * A.A. Borisenko: Convex hypersurfaces in Hadamard manifolds * G.

Calvaruso: Contact metric geometry of the unit tangent sphere bundle * V. Cort‚s and L. Sch„fer: Topological-antitopological fusion. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract.

Let σ be an involution of a real semi-simple Lie group U, U0 the subgroup fixed by σ, and U/U0 the corresponding symmetric space. Ferus and Pedit called a submanifold M of a rank r symmetric space U/U0 a curved flat if TpM is tangent to an r-dimensional flat of U/U0 at p for each p ∈ M.

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS { N{ ({) Ricci semi-symmetric normal complex contact metric manifolds Aysel Turgut Vanli Department of Mathematics. Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link).

Purchase Symmetric Banach Manifolds and Jordan C*-Algebras, Volume - 1st Edition. Print Book & E-Book. ISBNContains research and survey articles on differential geometry and topology.

This book includes papers that describe developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, and homogeneous and symmetric spaces. Complex structures on quaternionic manifolds Next notice that M is indeed a symmetric space.

The metric is given by the Killing form induced by () and the required involution in so(n+1, is the same one which makes SO(2(n+ 1),) / (SO(2) x SO(2n,)) into a riemannian symmetric space, once we think of so(n + 1, as a subalgebra of so(2. Abstract. Let M be a simplicial manifold with n vertices.

We call M centrally symmetric if it is invariant under an involution I of its vertex set which fixes no face of M. Obviously, the number of vertices of a centrally symmetric (triangulated) manifold is even, n = 2k, and, without loss of generality, we may assume that the involution is presented by the permutation I = (1 k+1)(2 k+2.

1 Fillings of contact manifolds What is a Stein manifold. Definition A Stein manifold is an affine complex manifold, ie a complex manifold that admits a proper holomorphic embedding into some CN. An excellent reference for Stein manifolds in the context of symplectic geometry is the recent book of Cieliebak and Eliashberg[18].

In this paper, we introduce a new tensor named B-tensor which generalizes the Z-tensor introduced by Mantica and Suh [Pseudo Z symmetric Riemannian manifolds with harmonic curvature tensors, Int. Geom. Methods Mod. Phys.9(1) () ]. Then, we study pseudo-B-symmetric manifolds (P B S) n which generalize some known structures on pseudo-Riemannian manifolds.

Section IV will discuss complex contact manifolds and some older style topology. Section V treats curvature functionals and Ricci solitons. A sixth section has been added giving a discussion of the question of whether a Riemannian metric g can be an associated metric for more than one contact structure; at the conference this was an addendum to.Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share .About this Item: Narosa Publishing House, Softcover.

Condition: New. Complex Manifolds and Contact Manifolds discusses the theory of almost complex manifolds, almost Hermite manifolds, Kahler manifolds, nearly Kähler manifolds, para-Kähler manifolds, contact manifolds K-contact manifolds, Sasakian manifolds and LP-Sasakian manifolds.