机构:
Prasanthi Nilayam, Sri Sathya Sai Inst Higher Learning, Puttaparthi 515134, IndiaPrasanthi Nilayam, Sri Sathya Sai Inst Higher Learning, Puttaparthi 515134, India
Poddar, Rahul
[1
]
Sharma, Ramesh
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Univ New Haven, West Haven, CT 06516 USAPrasanthi Nilayam, Sri Sathya Sai Inst Higher Learning, Puttaparthi 515134, India
Sharma, Ramesh
[2
]
Subramanian, Balasubramanian
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Prasanthi Nilayam, Sri Sathya Sai Inst Higher Learning, Puttaparthi 515134, IndiaPrasanthi Nilayam, Sri Sathya Sai Inst Higher Learning, Puttaparthi 515134, India
Subramanian, Balasubramanian
[1
]
机构:
[1] Prasanthi Nilayam, Sri Sathya Sai Inst Higher Learning, Puttaparthi 515134, India
We derive a divergence formula for an m-quasi Yamabe gradient soliton with finite m, and use it to give a short proof of the result "A compact m-quasi Yamabe gradient soliton (M-n,g), n >= 3, with finite m, has constant scalar curvature". We also show that an m-quasi Yamabe gradient soliton with finite m and positive scalar curvature, whose soliton vector field leaves the Ricci tensor invariant, is shrinking and has constant scalar curvature.
机构:
Univ Fed Oeste Bahia, Campus Luis Eduardo Magalhaes,Rua Itabuna 1278, BR-47850000 Sta Cruz, BA, BrazilUniv Fed Oeste Bahia, Campus Luis Eduardo Magalhaes,Rua Itabuna 1278, BR-47850000 Sta Cruz, BA, Brazil
Neto, Benedito Leandro
de Oliveira, Hudson Pina
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Univ Fed Mato Grosso, Campus Araguaia Ave Valdron Varjao 6390, BR-78600000 Barra Do Garcas Mt, Mato Grosso, BrazilUniv Fed Oeste Bahia, Campus Luis Eduardo Magalhaes,Rua Itabuna 1278, BR-47850000 Sta Cruz, BA, Brazil