On almost (para)contact (hyperbolic) metric manifolds and harmonicity of (phi phi ')-holomorphic maps between them

Date

2002-01-01

Author

Erdem, S

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

92
views

0
downloads

A Theorem is given which states about the harmonicity of 'holomorphic' maps between manifolds of mixture of even and odd dimensions (namely almost indefinite (para)-Hermitian and almost (para)- contact (hyperbolic) metric manifolds) in the most general form which gives new results and also covers all the known ones. On the way, some new classes of almost (para)contact (hyperbolic) metric manifolds are introduced and some examples of these kinds are provided.

Subject Keywords

(Para)Contact, (1,2)-Symplectic, Harmonic, Holomorphic

URI

https://hdl.handle.net/11511/64070

Journal

HOUSTON JOURNAL OF MATHEMATICS

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Stabilizations via Lefschetz fibrations and exact open books Arıkan, Mehmet Fırat (2017-01-01) We show that if a contact open book (Σ, h) on a (2n + 1)-manifold M (n ≥ 1) is induced by a Lefschetz fibration π : W → D2 , then there is a 1-1 correspondence between positive stabilizations of (Σ, h) and positive stabilizations of π. We also show that any exact open book, an open book induced by a compatible exact Lefschetz fibration, carries a contact structure. Moreover, we prove that there is a 1-1 correspondence (similar to the one above) between convex stabilizations of an exact open book and convex ...
On some classes of semi-discrete darboux integrable equations Bilen, Ergün; Zheltukhın, Kostyantyn; Department of Mathematics (2017) In this thesis we consider Darboux integrable semi-discrete hyperbolic equations of the form $t_{1x} = f(t,t_{1}, t_{x}), \frac{\partial f}{\partial t_{x}} \neq 0.$ We use the notion of characteristic Lie ring for a classification problem based on dimensions of characteristic $x$- and $n$-rings. Let $A = (a_{ij})_{N\times N}$ be a $N\times N$ matrix. We also consider semi-discrete hyperbolic equations of exponential type $u_{1,x}^{i} - u_{x}^{i} = e^{\sum a_{ij}^{+}u_{1}^{j} + \sum a_{ij}^{-}u^{j}}, i,j = 1...
On amoebas of random plane curves Kişisel, Ali Ulaş Özgür; Bayraktar, Turgay (2022-05-30) Due to a theorem of Passare and Rullgard, the area of the amoeba of a degreed" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.16px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; font-family: "Times New Roman"; position: relative;">ddalgebraic curve in the complex projective plane is bounded above by&#x03C0;2d2/2" role="prese...
Local Boundedness of Catlin q-Type Yazıcı, Özcan (2022-02-01) In D'Angelo (Ann Math 115:615-637, 1982) introduced the notion of finite type for points p of a real hypersurface M of C-n by defining the order of contact Delta(q)(M, p) of complex-analytic q-dimensional varieties with M at p. Later, Catlin (Ann Math 126(1):131-191, 1987) defined q-type, D-q(M, p) for points of hypersurfaces by considering generic (n - q + 1)-dimensional complex aline subspaces of C-n. We define a generalization of the Catlin's q-type for an arbitrary subset M of C-n in a similar way that ...
On the sequential order continuity of the C(K)-space Ercan, Z.; Onal, S. (Springer Science and Business Media LLC, 2007-03-01) As shown in [1], for each compact Hausdorff space K without isolated points, there exists a compact Hausdorff P'-space X but not an F-space such that C(K) is isometrically Riesz isomorphic to a Riesz subspace of C(X). The proof is technical and depends heavily on some representation theorems. In this paper we give a simple and direct proof without any assumptions on isolated points. Some generalizations of these results are mentioned.

Citation Formats

S. Erdem, “On almost (para)contact (hyperbolic) metric manifolds and harmonicity of (phi phi ’)-holomorphic maps between them,” HOUSTON JOURNAL OF MATHEMATICS, pp. 21–45, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64070.