Author

Other affiliations: Nihon University
Bio: Tatsuyoshi Hamada is an academic researcher from Fukuoka University. The author has contributed to research in topic(s): Ricci curvature & Mathematical software. The author has an hindex of 5, co-authored 17 publication(s) receiving 124 citation(s). Previous affiliations of Tatsuyoshi Hamada include Nihon University.

##### Papers
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Journal ArticleDOI
TL;DR: In this article, the authors classified the $*$-Einstein real hypersurfaces in complex space forms such that the structure vector is a principal curvature vector and the principal curvatures of the hypersurface can be computed with the K\"ahler metric.
Abstract: It is known that there are no Einstein real hypersurfaces in complex space forms equipped with the K\"ahler metric. In the present paper we classified the $*$-Einstein real hypersurfaces $M$ in complex space forms $M_{n}(c)$ and such that the structure vector is a principal curvature vector.

54 citations

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TL;DR: In this article, it was shown that there are no real hypersurfaces with recurrent Ricci tensors of the complex projective space Pn(C) under the condition that there is a principal curvature vector.
Abstract: Let M be a real hypersurface of the complex projective space Pn(C). The Ricci tensor S of M is recurrent if there exists a 1-form such that . In this paper we show that there are no real hypersurfaces with recurrent Ricci tensor of Pn(C) under the condition that is a principal curvature vector.1991 Mathematics Subject Classification 53C40 (53C25).

16 citations

Journal ArticleDOI

15 citations

Journal ArticleDOI
, Knoppix1
TL;DR: This tutorial demonstrates how to boot and use the KNOPPIX/Math system, a wonderful world of mathematical software without needing to install anything yourself.
Abstract: KNOPPIX/Math offers many documents and mathematical software packages. Once you run the live system, you can enjoy a wonderful world of mathematical software without needing to install anything yourself. We will demonstrate how to boot and use this system.

7 citations

01 Mar 2005

6 citations

##### Cited by
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Journal ArticleDOI
TL;DR: In this paper, the notion of *-Ricci soliton is introduced and real hypersurfaces in non-flat complex space forms admitting a *-ricci s soliton with potential vector field being the structure vector field.
Abstract: In this paper the notion of *-Ricci soliton is introduced and real hypersurfaces in non-flat complex space forms admitting a *-Ricci soliton with potential vector field being the structure vector field ξ are studied. At the end of the paper discussion on this new notion and ideas for further work are presented.

31 citations

Journal ArticleDOI
TL;DR: In this paper, the authors classify real hypersurfaces of complex projective space C P m, m ⩾ 3, with D -recurrent structure Jacobi operator and apply this result to prove the non-existence of such hypersurface with recurrent structure JacobI operator.
Abstract: We classify real hypersurfaces of complex projective space C P m , m ⩾ 3 , with D -recurrent structure Jacobi operator and apply this result to prove the non-existence of such hypersurfaces with recurrent structure Jacobi operator.

31 citations

Journal ArticleDOI
TL;DR: In this paper, the geometry of homogeneous hypersurfaces and their focal sets in complex hyperbolic spaces is studied and a characterization of the focal set in terms of its second fundamental form is provided.
Abstract: We study the geometry of homogeneous hypersurfaces and their focal sets in complex hyperbolic spaces. In particular, we provide a characterization of the focal set in terms of its second fundamental form and determine the principal curvatures of the homogeneous hypersurfaces together with their multiplicities.

28 citations

Journal ArticleDOI
24 Feb 2017-Filomat
TL;DR: In this paper, a reduction result for parallel symmetric covariant tensor fields of order two was obtained for the parallel Ricci solitons with regularity and regularity conditions.
Abstract: Torse-forming $\eta$-Ricci solitons are studied in the framework of almost paracontact metric $\eta$-Einstein manifolds. By adding a technical condition, called regularity and concerning with the scalars provided by the two $\eta$-conditions, is obtained a reduction result for the parallel symmetric covariant tensor fields of order two.

27 citations

Posted Content
TL;DR: The article gives a survey of mathematical proofs that rely on computer calculations and formal proofs, as well as some examples from the literature.
Abstract: The article gives a survey of mathematical proofs that rely on computer calculations and formal proofs.

20 citations