Research profile

D. G. Prakasha

Works on sasakian & contact geometry, almost & η-Ricci solitons and Ricci solitons.

NP-RC-203649 0000-0001-6453-0308

5
topics: 3
co-authors

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Sasakian & contact geometry Almost & η-Ricci solitons Ricci solitons Einstein metrics 3-manifolds

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Devaraja Mallesha Naik
1 joint worklatest 2018
Venkatesha
1 joint worklatest 2018
Pundikala Veeresha
1 joint worklatest 2018

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2018

math.DGAug 18, 2018v3arXiv:1808.06090

Certain results on Kenmotsu pseudo-metric manifolds

Devaraja Mallesha Naik, Venkatesha, D. G. Prakasha

In this paper, a systematic study of Kenmotsu pseudo-metric manifolds are introduced. After studying the properties of this manifolds, we provide necessary and sufficient condition for Kenmotsu pseudo-metric manifold to have constant $φ$ -sectional curvature, and prove the structure theorem for $ξ$ -conformally flat and $φ$ -conformally flat Kenmotsu pseudo-metric manifolds. Next, we consider Ricci solitons on this manifolds. In particular, we prove that an $η$ -Einstein Kenmotsu pseudo-metric manifold of dimension higher than 3 admitting a Ricci soliton is Einstein, and a Kenmotsu pseudo-metric 3-manifold admitting a Ricci soliton is of constant curvature $- ε$ .

Ricci solitons 3-manifolds Sasakian & contact geometry

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math.DGJan 5, 2018arXiv:1801.01727

Para-Sasakian manifolds and *-Ricci solitons

D. G. Prakasha, Pundikala Veeresha

In this paper we study a special type of metric called *-Ricci soliton on para-Sasakian manifold. We prove that if the para-Sasakian metric is a *-Ricci soliton on a manifold M, then M is either D-homothetic to an Einstein manifold, or the Ricci tensor of M with respect to the canonical paracontact connection vanishes.

Ricci solitons Einstein metrics Almost & η-Ricci solitons Sasakian & contact geometry

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Santu DeyShared topics: Sasakian & contact geometry, Almost & η-Ricci solitons, Einstein metrics
Ghodratallah Fasihi-RamandiShared topics: Sasakian & contact geometry, Almost & η-Ricci solitons, Einstein metrics
Aruna Kumara HShared topics: Sasakian & contact geometry, Almost & η-Ricci solitons, 3-manifolds
Dhriti Sundar PatraShared topics: Sasakian & contact geometry, Almost & η-Ricci solitons, Einstein metrics
Sumanjit SarkarShared topics: Sasakian & contact geometry, Almost & η-Ricci solitons, Einstein metrics

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NP-RC-203649 is D. G. Prakasha's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. How it is put together.